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Finding the Fourth Proportional to 223,714.89, 335,902.82 and 149,298.57

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Solution

The fourth proportional to 223,714.89, 335,902.82 and 149,298.57 is: 224,168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,714.89 : 335,902.82 = 149,298.57 : x
  2. Step 2: Convert to fraction form
    223,714.89/335,902.82 = 149,298.57/x
  3. Step 3: Cross multiply
    223,714.89x = 335,902.82 × 149,298.57
  4. Step 4: Simplify right side
    223,714.89x = 50,149,809,938.47
  5. Step 5: Solve for x
    x = 50,149,809,938.47/223,714.89
  6. Step 6: Final answer
    x = 224,168.40

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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.