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Finding the Fourth Proportional to 143,074.62, 214,466.13 and 64,167.66

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Solution

The fourth proportional to 143,074.62, 214,466.13 and 64,167.66 is: 96,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,074.62 : 214,466.13 = 64,167.66 : x
  2. Step 2: Convert to fraction form
    143,074.62/214,466.13 = 64,167.66/x
  3. Step 3: Cross multiply
    143,074.62x = 214,466.13 × 64,167.66
  4. Step 4: Simplify right side
    143,074.62x = 13,761,789,711.36
  5. Step 5: Solve for x
    x = 13,761,789,711.36/143,074.62
  6. Step 6: Final answer
    x = 96,186.10

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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.