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Finding the Fourth Proportional to 129,300, 178,414.56 and 72,710.16

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Solution

The fourth proportional to 129,300, 178,414.56 and 72,710.16 is: 100,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,300 : 178,414.56 = 72,710.16 : x
  2. Step 2: Convert to fraction form
    129,300/178,414.56 = 72,710.16/x
  3. Step 3: Cross multiply
    129,300x = 178,414.56 × 72,710.16
  4. Step 4: Simplify right side
    129,300x = 12,972,551,203.93
  5. Step 5: Solve for x
    x = 12,972,551,203.93/129,300
  6. Step 6: Final answer
    x = 100,329.09

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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.