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Finding the Fourth Proportional to 280,177.38, 386,636.49 and 159,331.86

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Solution

The fourth proportional to 280,177.38, 386,636.49 and 159,331.86 is: 219,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,177.38 : 386,636.49 = 159,331.86 : x
  2. Step 2: Convert to fraction form
    280,177.38/386,636.49 = 159,331.86/x
  3. Step 3: Cross multiply
    280,177.38x = 386,636.49 × 159,331.86
  4. Step 4: Simplify right side
    280,177.38x = 61,603,511,095.57
  5. Step 5: Solve for x
    x = 61,603,511,095.57/280,177.38
  6. Step 6: Final answer
    x = 219,873.25

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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.