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Finding the Fourth Proportional to 132,732.54, 199,127.94 and 97,565.58

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Solution

The fourth proportional to 132,732.54, 199,127.94 and 97,565.58 is: 146,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,732.54 : 199,127.94 = 97,565.58 : x
  2. Step 2: Convert to fraction form
    132,732.54/199,127.94 = 97,565.58/x
  3. Step 3: Cross multiply
    132,732.54x = 199,127.94 × 97,565.58
  4. Step 4: Simplify right side
    132,732.54x = 19,428,032,960.31
  5. Step 5: Solve for x
    x = 19,428,032,960.31/132,732.54
  6. Step 6: Final answer
    x = 146,369.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.