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Finding the Fourth Proportional to 222,753.10, 334,129.65 and 175,513.90

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Solution

The fourth proportional to 222,753.10, 334,129.65 and 175,513.90 is: 263,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,753.10 : 334,129.65 = 175,513.90 : x
  2. Step 2: Convert to fraction form
    222,753.10/334,129.65 = 175,513.90/x
  3. Step 3: Cross multiply
    222,753.10x = 334,129.65 × 175,513.90
  4. Step 4: Simplify right side
    222,753.10x = 58,644,397,977.14
  5. Step 5: Solve for x
    x = 58,644,397,977.14/222,753.10
  6. Step 6: Final answer
    x = 263,270.85

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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.