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Finding the Fourth Proportional to 234,780.80, 351,998.40 and 159,713.60

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Solution

The fourth proportional to 234,780.80, 351,998.40 and 159,713.60 is: 239,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,780.80 : 351,998.40 = 159,713.60 : x
  2. Step 2: Convert to fraction form
    234,780.80/351,998.40 = 159,713.60/x
  3. Step 3: Cross multiply
    234,780.80x = 351,998.40 × 159,713.60
  4. Step 4: Simplify right side
    234,780.80x = 56,218,931,658.24
  5. Step 5: Solve for x
    x = 56,218,931,658.24/234,780.80
  6. Step 6: Final answer
    x = 239,452.85

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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.