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Finding the Fourth Proportional to 157,654.73, 217,193.86 and 109,821.53

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Solution

The fourth proportional to 157,654.73, 217,193.86 and 109,821.53 is: 151,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,654.73 : 217,193.86 = 109,821.53 : x
  2. Step 2: Convert to fraction form
    157,654.73/217,193.86 = 109,821.53/x
  3. Step 3: Cross multiply
    157,654.73x = 217,193.86 × 109,821.53
  4. Step 4: Simplify right side
    157,654.73x = 23,852,562,011.81
  5. Step 5: Solve for x
    x = 23,852,562,011.81/157,654.73
  6. Step 6: Final answer
    x = 151,296.20

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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.