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Finding the Fourth Proportional to 107,262.65, 160,781.72 and 36,160.71

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Solution

The fourth proportional to 107,262.65, 160,781.72 and 36,160.71 is: 54,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,262.65 : 160,781.72 = 36,160.71 : x
  2. Step 2: Convert to fraction form
    107,262.65/160,781.72 = 36,160.71/x
  3. Step 3: Cross multiply
    107,262.65x = 160,781.72 × 36,160.71
  4. Step 4: Simplify right side
    107,262.65x = 5,813,980,969.42
  5. Step 5: Solve for x
    x = 5,813,980,969.42/107,262.65
  6. Step 6: Final answer
    x = 54,203.22

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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.