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Finding the Fourth Proportional to 242,886.76, 335,174.20 and 140,906.96

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Solution

The fourth proportional to 242,886.76, 335,174.20 and 140,906.96 is: 194,446.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,886.76 : 335,174.20 = 140,906.96 : x
  2. Step 2: Convert to fraction form
    242,886.76/335,174.20 = 140,906.96/x
  3. Step 3: Cross multiply
    242,886.76x = 335,174.20 × 140,906.96
  4. Step 4: Simplify right side
    242,886.76x = 47,228,377,592.43
  5. Step 5: Solve for x
    x = 47,228,377,592.43/242,886.76
  6. Step 6: Final answer
    x = 194,446.08

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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.