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Finding the Fourth Proportional to 129,478.84, 178,684.14 and 72,892.24

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Solution

The fourth proportional to 129,478.84, 178,684.14 and 72,892.24 is: 100,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,478.84 : 178,684.14 = 72,892.24 : x
  2. Step 2: Convert to fraction form
    129,478.84/178,684.14 = 72,892.24/x
  3. Step 3: Cross multiply
    129,478.84x = 178,684.14 × 72,892.24
  4. Step 4: Simplify right side
    129,478.84x = 13,024,687,217.07
  5. Step 5: Solve for x
    x = 13,024,687,217.07/129,478.84
  6. Step 6: Final answer
    x = 100,593.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.