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Finding the Fourth Proportional to 226,390.32, 339,565.84 and 76,627.28

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Solution

The fourth proportional to 226,390.32, 339,565.84 and 76,627.28 is: 114,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,390.32 : 339,565.84 = 76,627.28 : x
  2. Step 2: Convert to fraction form
    226,390.32/339,565.84 = 76,627.28/x
  3. Step 3: Cross multiply
    226,390.32x = 339,565.84 × 76,627.28
  4. Step 4: Simplify right side
    226,390.32x = 26,020,006,700.12
  5. Step 5: Solve for x
    x = 26,020,006,700.12/226,390.32
  6. Step 6: Final answer
    x = 114,934.27

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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.