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Finding the Fourth Proportional to 109,836,231.60, 164,754,347.40 and 97,506,800.40

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Solution

The fourth proportional to 109,836,231.60, 164,754,347.40 and 97,506,800.40 is: 146,260,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,836,231.60 : 164,754,347.40 = 97,506,800.40 : x
  2. Step 2: Convert to fraction form
    109,836,231.60/164,754,347.40 = 97,506,800.40/x
  3. Step 3: Cross multiply
    109,836,231.60x = 164,754,347.40 × 97,506,800.40
  4. Step 4: Simplify right side
    109,836,231.60x = 16,064,669,266,964,060
  5. Step 5: Solve for x
    x = 16,064,669,266,964,060/109,836,231.60
  6. Step 6: Final answer
    x = 146,260,200.60

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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.