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Finding the Fourth Proportional to 107,158.65, 160,744.66 and 28,272.95

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Solution

The fourth proportional to 107,158.65, 160,744.66 and 28,272.95 is: 42,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,158.65 : 160,744.66 = 28,272.95 : x
  2. Step 2: Convert to fraction form
    107,158.65/160,744.66 = 28,272.95/x
  3. Step 3: Cross multiply
    107,158.65x = 160,744.66 × 28,272.95
  4. Step 4: Simplify right side
    107,158.65x = 4,544,726,066.13
  5. Step 5: Solve for x
    x = 4,544,726,066.13/107,158.65
  6. Step 6: Final answer
    x = 42,411.19

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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.