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Finding the Fourth Proportional to 132,140.91, 182,355.79 and 71,712.07

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Solution

The fourth proportional to 132,140.91, 182,355.79 and 71,712.07 is: 98,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,140.91 : 182,355.79 = 71,712.07 : x
  2. Step 2: Convert to fraction form
    132,140.91/182,355.79 = 71,712.07/x
  3. Step 3: Cross multiply
    132,140.91x = 182,355.79 × 71,712.07
  4. Step 4: Simplify right side
    132,140.91x = 13,077,110,818.83
  5. Step 5: Solve for x
    x = 13,077,110,818.83/132,140.91
  6. Step 6: Final answer
    x = 98,963.38

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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.