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Finding the Fourth Proportional to 132,089.68, 182,283.76 and 75,502.28

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Solution

The fourth proportional to 132,089.68, 182,283.76 and 75,502.28 is: 104,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,089.68 : 182,283.76 = 75,502.28 : x
  2. Step 2: Convert to fraction form
    132,089.68/182,283.76 = 75,502.28/x
  3. Step 3: Cross multiply
    132,089.68x = 182,283.76 × 75,502.28
  4. Step 4: Simplify right side
    132,089.68x = 13,762,839,486.97
  5. Step 5: Solve for x
    x = 13,762,839,486.97/132,089.68
  6. Step 6: Final answer
    x = 104,193.15

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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.