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Finding the Fourth Proportional to 192,377.30, 288,565.95 and 156,947.90

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Solution

The fourth proportional to 192,377.30, 288,565.95 and 156,947.90 is: 235,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,377.30 : 288,565.95 = 156,947.90 : x
  2. Step 2: Convert to fraction form
    192,377.30/288,565.95 = 156,947.90/x
  3. Step 3: Cross multiply
    192,377.30x = 288,565.95 × 156,947.90
  4. Step 4: Simplify right side
    192,377.30x = 45,289,819,864.01
  5. Step 5: Solve for x
    x = 45,289,819,864.01/192,377.30
  6. Step 6: Final answer
    x = 235,421.85

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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.