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Finding the Fourth Proportional to 143,392.68, 215,149.50 and 76,815

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Solution

The fourth proportional to 143,392.68, 215,149.50 and 76,815 is: 115,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,392.68 : 215,149.50 = 76,815 : x
  2. Step 2: Convert to fraction form
    143,392.68/215,149.50 = 76,815/x
  3. Step 3: Cross multiply
    143,392.68x = 215,149.50 × 76,815
  4. Step 4: Simplify right side
    143,392.68x = 16,526,708,842.50
  5. Step 5: Solve for x
    x = 16,526,708,842.50/143,392.68
  6. Step 6: Final answer
    x = 115,254.90

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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.