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Finding the Fourth Proportional to 101,349.84, 152,049.53 and 71,422.46

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Solution

The fourth proportional to 101,349.84, 152,049.53 and 71,422.46 is: 107,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,349.84 : 152,049.53 = 71,422.46 : x
  2. Step 2: Convert to fraction form
    101,349.84/152,049.53 = 71,422.46/x
  3. Step 3: Cross multiply
    101,349.84x = 152,049.53 × 71,422.46
  4. Step 4: Simplify right side
    101,349.84x = 10,859,750,892.75
  5. Step 5: Solve for x
    x = 10,859,750,892.75/101,349.84
  6. Step 6: Final answer
    x = 107,151.14

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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.