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Finding the Fourth Proportional to 278,780.38, 384,715.92 and 151,454.86

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Solution

The fourth proportional to 278,780.38, 384,715.92 and 151,454.86 is: 209,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,780.38 : 384,715.92 = 151,454.86 : x
  2. Step 2: Convert to fraction form
    278,780.38/384,715.92 = 151,454.86/x
  3. Step 3: Cross multiply
    278,780.38x = 384,715.92 × 151,454.86
  4. Step 4: Simplify right side
    278,780.38x = 58,267,095,803.37
  5. Step 5: Solve for x
    x = 58,267,095,803.37/278,780.38
  6. Step 6: Final answer
    x = 209,007.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.