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Finding the Fourth Proportional to 129,006, 178,028.72 and 71,645.47

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Solution

The fourth proportional to 129,006, 178,028.72 and 71,645.47 is: 98,870.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,006 : 178,028.72 = 71,645.47 : x
  2. Step 2: Convert to fraction form
    129,006/178,028.72 = 71,645.47/x
  3. Step 3: Cross multiply
    129,006x = 178,028.72 × 71,645.47
  4. Step 4: Simplify right side
    129,006x = 12,754,951,317.90
  5. Step 5: Solve for x
    x = 12,754,951,317.90/129,006
  6. Step 6: Final answer
    x = 98,870.99

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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.