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Finding the Fourth Proportional to 125,638.80, 188,458.20 and 42,532.80

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Solution

The fourth proportional to 125,638.80, 188,458.20 and 42,532.80 is: 63,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,638.80 : 188,458.20 = 42,532.80 : x
  2. Step 2: Convert to fraction form
    125,638.80/188,458.20 = 42,532.80/x
  3. Step 3: Cross multiply
    125,638.80x = 188,458.20 × 42,532.80
  4. Step 4: Simplify right side
    125,638.80x = 8,015,654,928.96
  5. Step 5: Solve for x
    x = 8,015,654,928.96/125,638.80
  6. Step 6: Final answer
    x = 63,799.20

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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.