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Finding the Fourth Proportional to 132,590.80, 198,713.40 and 61,505.20

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Solution

The fourth proportional to 132,590.80, 198,713.40 and 61,505.20 is: 92,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,590.80 : 198,713.40 = 61,505.20 : x
  2. Step 2: Convert to fraction form
    132,590.80/198,713.40 = 61,505.20/x
  3. Step 3: Cross multiply
    132,590.80x = 198,713.40 × 61,505.20
  4. Step 4: Simplify right side
    132,590.80x = 12,221,907,409.68
  5. Step 5: Solve for x
    x = 12,221,907,409.68/132,590.80
  6. Step 6: Final answer
    x = 92,177.64

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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.