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Finding the Fourth Proportional to 132,032.31, 182,202.26 and 75,442.47

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Solution

The fourth proportional to 132,032.31, 182,202.26 and 75,442.47 is: 104,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032.31 : 182,202.26 = 75,442.47 : x
  2. Step 2: Convert to fraction form
    132,032.31/182,202.26 = 75,442.47/x
  3. Step 3: Cross multiply
    132,032.31x = 182,202.26 × 75,442.47
  4. Step 4: Simplify right side
    132,032.31x = 13,745,788,156.77
  5. Step 5: Solve for x
    x = 13,745,788,156.77/132,032.31
  6. Step 6: Final answer
    x = 104,109.28

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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.