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Finding the Fourth Proportional to 224,773.82, 310,175.43 and 129,282.11

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Solution

The fourth proportional to 224,773.82, 310,175.43 and 129,282.11 is: 178,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,773.82 : 310,175.43 = 129,282.11 : x
  2. Step 2: Convert to fraction form
    224,773.82/310,175.43 = 129,282.11/x
  3. Step 3: Cross multiply
    224,773.82x = 310,175.43 × 129,282.11
  4. Step 4: Simplify right side
    224,773.82x = 40,100,134,060.56
  5. Step 5: Solve for x
    x = 40,100,134,060.56/224,773.82
  6. Step 6: Final answer
    x = 178,402.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.