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Finding the Fourth Proportional to 143,175.66, 214,734.33 and 54,398.04

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Solution

The fourth proportional to 143,175.66, 214,734.33 and 54,398.04 is: 81,585.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,175.66 : 214,734.33 = 54,398.04 : x
  2. Step 2: Convert to fraction form
    143,175.66/214,734.33 = 54,398.04/x
  3. Step 3: Cross multiply
    143,175.66x = 214,734.33 × 54,398.04
  4. Step 4: Simplify right side
    143,175.66x = 11,681,126,672.71
  5. Step 5: Solve for x
    x = 11,681,126,672.71/143,175.66
  6. Step 6: Final answer
    x = 81,585.98

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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.