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Finding the Fourth Proportional to 107,159.65, 160,746.17 and 28,273.96

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Solution

The fourth proportional to 107,159.65, 160,746.17 and 28,273.96 is: 42,412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,159.65 : 160,746.17 = 28,273.96 : x
  2. Step 2: Convert to fraction form
    107,159.65/160,746.17 = 28,273.96/x
  3. Step 3: Cross multiply
    107,159.65x = 160,746.17 × 28,273.96
  4. Step 4: Simplify right side
    107,159.65x = 4,544,930,780.73
  5. Step 5: Solve for x
    x = 4,544,930,780.73/107,159.65
  6. Step 6: Final answer
    x = 42,412.71

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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.