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Finding the Fourth Proportional to 214,871.87, 322,002.15 and 158,266.85

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Solution

The fourth proportional to 214,871.87, 322,002.15 and 158,266.85 is: 237,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,871.87 : 322,002.15 = 158,266.85 : x
  2. Step 2: Convert to fraction form
    214,871.87/322,002.15 = 158,266.85/x
  3. Step 3: Cross multiply
    214,871.87x = 322,002.15 × 158,266.85
  4. Step 4: Simplify right side
    214,871.87x = 50,962,264,363.72
  5. Step 5: Solve for x
    x = 50,962,264,363.72/214,871.87
  6. Step 6: Final answer
    x = 237,175.14

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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.