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Finding the Fourth Proportional to 132,160.71, 182,329.88 and 75,541.71

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Solution

The fourth proportional to 132,160.71, 182,329.88 and 75,541.71 is: 104,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,160.71 : 182,329.88 = 75,541.71 : x
  2. Step 2: Convert to fraction form
    132,160.71/182,329.88 = 75,541.71/x
  3. Step 3: Cross multiply
    132,160.71x = 182,329.88 × 75,541.71
  4. Step 4: Simplify right side
    132,160.71x = 13,773,510,541.59
  5. Step 5: Solve for x
    x = 13,773,510,541.59/132,160.71
  6. Step 6: Final answer
    x = 104,217.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.