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Finding the Fourth Proportional to 102,541.71, 153,591.13 and 100,032.13

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Solution

The fourth proportional to 102,541.71, 153,591.13 and 100,032.13 is: 149,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,541.71 : 153,591.13 = 100,032.13 : x
  2. Step 2: Convert to fraction form
    102,541.71/153,591.13 = 100,032.13/x
  3. Step 3: Cross multiply
    102,541.71x = 153,591.13 × 100,032.13
  4. Step 4: Simplify right side
    102,541.71x = 15,364,046,614.89
  5. Step 5: Solve for x
    x = 15,364,046,614.89/102,541.71
  6. Step 6: Final answer
    x = 149,832.17

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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.