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Finding the Fourth Proportional to 102,491.83, 141,438.94 and 57,168.65

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Solution

The fourth proportional to 102,491.83, 141,438.94 and 57,168.65 is: 78,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,491.83 : 141,438.94 = 57,168.65 : x
  2. Step 2: Convert to fraction form
    102,491.83/141,438.94 = 57,168.65/x
  3. Step 3: Cross multiply
    102,491.83x = 141,438.94 × 57,168.65
  4. Step 4: Simplify right side
    102,491.83x = 8,085,872,407.11
  5. Step 5: Solve for x
    x = 8,085,872,407.11/102,491.83
  6. Step 6: Final answer
    x = 78,892.85

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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.