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Finding the Fourth Proportional to 224,537.76, 309,854.40 and 133,847

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Solution

The fourth proportional to 224,537.76, 309,854.40 and 133,847 is: 184,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,537.76 : 309,854.40 = 133,847 : x
  2. Step 2: Convert to fraction form
    224,537.76/309,854.40 = 133,847/x
  3. Step 3: Cross multiply
    224,537.76x = 309,854.40 × 133,847
  4. Step 4: Simplify right side
    224,537.76x = 41,473,081,876.80
  5. Step 5: Solve for x
    x = 41,473,081,876.80/224,537.76
  6. Step 6: Final answer
    x = 184,704.26

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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.