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Finding the Fourth Proportional to 102,329.17, 141,216.74 and 57,007.90

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Solution

The fourth proportional to 102,329.17, 141,216.74 and 57,007.90 is: 78,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,329.17 : 141,216.74 = 57,007.90 : x
  2. Step 2: Convert to fraction form
    102,329.17/141,216.74 = 57,007.90/x
  3. Step 3: Cross multiply
    102,329.17x = 141,216.74 × 57,007.90
  4. Step 4: Simplify right side
    102,329.17x = 8,050,469,792.25
  5. Step 5: Solve for x
    x = 8,050,469,792.25/102,329.17
  6. Step 6: Final answer
    x = 78,672.29

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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.