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Finding the Fourth Proportional to 107,046.30, 160,569.45 and 57,279.90

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Solution

The fourth proportional to 107,046.30, 160,569.45 and 57,279.90 is: 85,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,046.30 : 160,569.45 = 57,279.90 : x
  2. Step 2: Convert to fraction form
    107,046.30/160,569.45 = 57,279.90/x
  3. Step 3: Cross multiply
    107,046.30x = 160,569.45 × 57,279.90
  4. Step 4: Simplify right side
    107,046.30x = 9,197,402,039.06
  5. Step 5: Solve for x
    x = 9,197,402,039.06/107,046.30
  6. Step 6: Final answer
    x = 85,919.85

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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.