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Finding the Fourth Proportional to 132,911.84, 183,414.24 and 75,557.43

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Solution

The fourth proportional to 132,911.84, 183,414.24 and 75,557.43 is: 104,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,911.84 : 183,414.24 = 75,557.43 : x
  2. Step 2: Convert to fraction form
    132,911.84/183,414.24 = 75,557.43/x
  3. Step 3: Cross multiply
    132,911.84x = 183,414.24 × 75,557.43
  4. Step 4: Simplify right side
    132,911.84x = 13,858,308,599.80
  5. Step 5: Solve for x
    x = 13,858,308,599.80/132,911.84
  6. Step 6: Final answer
    x = 104,266.92

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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.