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Finding the Fourth Proportional to 157,654.48, 217,193.52 and 109,821.28

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Solution

The fourth proportional to 157,654.48, 217,193.52 and 109,821.28 is: 151,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,654.48 : 217,193.52 = 109,821.28 : x
  2. Step 2: Convert to fraction form
    157,654.48/217,193.52 = 109,821.28/x
  3. Step 3: Cross multiply
    157,654.48x = 217,193.52 × 109,821.28
  4. Step 4: Simplify right side
    157,654.48x = 23,852,470,374.11
  5. Step 5: Solve for x
    x = 23,852,470,374.11/157,654.48
  6. Step 6: Final answer
    x = 151,295.86

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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.