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Finding the Fourth Proportional to 146,520.78, 219,781.14 and 35,712.78

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Solution

The fourth proportional to 146,520.78, 219,781.14 and 35,712.78 is: 53,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,520.78 : 219,781.14 = 35,712.78 : x
  2. Step 2: Convert to fraction form
    146,520.78/219,781.14 = 35,712.78/x
  3. Step 3: Cross multiply
    146,520.78x = 219,781.14 × 35,712.78
  4. Step 4: Simplify right side
    146,520.78x = 7,848,995,500.97
  5. Step 5: Solve for x
    x = 7,848,995,500.97/146,520.78
  6. Step 6: Final answer
    x = 53,569.16

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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.