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Finding the Fourth Proportional to 132,470.94, 182,755.98 and 75,098.10

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Solution

The fourth proportional to 132,470.94, 182,755.98 and 75,098.10 is: 103,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,470.94 : 182,755.98 = 75,098.10 : x
  2. Step 2: Convert to fraction form
    132,470.94/182,755.98 = 75,098.10/x
  3. Step 3: Cross multiply
    132,470.94x = 182,755.98 × 75,098.10
  4. Step 4: Simplify right side
    132,470.94x = 13,724,626,861.64
  5. Step 5: Solve for x
    x = 13,724,626,861.64/132,470.94
  6. Step 6: Final answer
    x = 103,604.81

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Why These Related Problems?

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