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Finding the Fourth Proportional to 132,415.91, 198,595.84 and 43,648.31

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Solution

The fourth proportional to 132,415.91, 198,595.84 and 43,648.31 is: 65,463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415.91 : 198,595.84 = 43,648.31 : x
  2. Step 2: Convert to fraction form
    132,415.91/198,595.84 = 43,648.31/x
  3. Step 3: Cross multiply
    132,415.91x = 198,595.84 × 43,648.31
  4. Step 4: Simplify right side
    132,415.91x = 8,668,373,285.52
  5. Step 5: Solve for x
    x = 8,668,373,285.52/132,415.91
  6. Step 6: Final answer
    x = 65,463.23

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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.