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Finding the Fourth Proportional to 132,125.64, 182,333.46 and 75,538.20

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Solution

The fourth proportional to 132,125.64, 182,333.46 and 75,538.20 is: 104,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,125.64 : 182,333.46 = 75,538.20 : x
  2. Step 2: Convert to fraction form
    132,125.64/182,333.46 = 75,538.20/x
  3. Step 3: Cross multiply
    132,125.64x = 182,333.46 × 75,538.20
  4. Step 4: Simplify right side
    132,125.64x = 13,773,141,368.17
  5. Step 5: Solve for x
    x = 13,773,141,368.17/132,125.64
  6. Step 6: Final answer
    x = 104,242.76

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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.