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Finding the Fourth Proportional to 109,908.10, 164,862.15 and 96,348.70

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Solution

The fourth proportional to 109,908.10, 164,862.15 and 96,348.70 is: 144,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,908.10 : 164,862.15 = 96,348.70 : x
  2. Step 2: Convert to fraction form
    109,908.10/164,862.15 = 96,348.70/x
  3. Step 3: Cross multiply
    109,908.10x = 164,862.15 × 96,348.70
  4. Step 4: Simplify right side
    109,908.10x = 15,884,253,831.71
  5. Step 5: Solve for x
    x = 15,884,253,831.71/109,908.10
  6. Step 6: Final answer
    x = 144,523.05

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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.