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Finding the Fourth Proportional to 378,031.12, 567,098.52 and 111,812.56

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Solution

The fourth proportional to 378,031.12, 567,098.52 and 111,812.56 is: 167,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,031.12 : 567,098.52 = 111,812.56 : x
  2. Step 2: Convert to fraction form
    378,031.12/567,098.52 = 111,812.56/x
  3. Step 3: Cross multiply
    378,031.12x = 567,098.52 × 111,812.56
  4. Step 4: Simplify right side
    378,031.12x = 63,408,737,293.41
  5. Step 5: Solve for x
    x = 63,408,737,293.41/378,031.12
  6. Step 6: Final answer
    x = 167,734.17

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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.