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Finding the Fourth Proportional to 132,088.80, 182,265.60 and 75,504

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Solution

The fourth proportional to 132,088.80, 182,265.60 and 75,504 is: 104,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,088.80 : 182,265.60 = 75,504 : x
  2. Step 2: Convert to fraction form
    132,088.80/182,265.60 = 75,504/x
  3. Step 3: Cross multiply
    132,088.80x = 182,265.60 × 75,504
  4. Step 4: Simplify right side
    132,088.80x = 13,761,781,862.40
  5. Step 5: Solve for x
    x = 13,761,781,862.40/132,088.80
  6. Step 6: Final answer
    x = 104,185.83

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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.