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Finding the Fourth Proportional to 151,743.74, 209,406.38 and 83,760.74

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Solution

The fourth proportional to 151,743.74, 209,406.38 and 83,760.74 is: 115,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,743.74 : 209,406.38 = 83,760.74 : x
  2. Step 2: Convert to fraction form
    151,743.74/209,406.38 = 83,760.74/x
  3. Step 3: Cross multiply
    151,743.74x = 209,406.38 × 83,760.74
  4. Step 4: Simplify right side
    151,743.74x = 17,540,031,883.69
  5. Step 5: Solve for x
    x = 17,540,031,883.69/151,743.74
  6. Step 6: Final answer
    x = 115,589.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.