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Finding the Fourth Proportional to 109,836,293.60, 164,754,440.40 and 97,506,862.40

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Solution

The fourth proportional to 109,836,293.60, 164,754,440.40 and 97,506,862.40 is: 146,260,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,836,293.60 : 164,754,440.40 = 97,506,862.40 : x
  2. Step 2: Convert to fraction form
    109,836,293.60/164,754,440.40 = 97,506,862.40/x
  3. Step 3: Cross multiply
    109,836,293.60x = 164,754,440.40 × 97,506,862.40
  4. Step 4: Simplify right side
    109,836,293.60x = 16,064,688,549,871,802
  5. Step 5: Solve for x
    x = 16,064,688,549,871,802/109,836,293.60
  6. Step 6: Final answer
    x = 146,260,293.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.