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Finding the Fourth Proportional to 132,302.16, 182,580.48 and 75,731.76

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Solution

The fourth proportional to 132,302.16, 182,580.48 and 75,731.76 is: 104,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,302.16 : 182,580.48 = 75,731.76 : x
  2. Step 2: Convert to fraction form
    132,302.16/182,580.48 = 75,731.76/x
  3. Step 3: Cross multiply
    132,302.16x = 182,580.48 × 75,731.76
  4. Step 4: Simplify right side
    132,302.16x = 13,827,141,092.04
  5. Step 5: Solve for x
    x = 13,827,141,092.04/132,302.16
  6. Step 6: Final answer
    x = 104,511.83

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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.