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Finding the Fourth Proportional to 117,570.74, 162,294.14 and 81,781.52

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Solution

The fourth proportional to 117,570.74, 162,294.14 and 81,781.52 is: 112,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,570.74 : 162,294.14 = 81,781.52 : x
  2. Step 2: Convert to fraction form
    117,570.74/162,294.14 = 81,781.52/x
  3. Step 3: Cross multiply
    117,570.74x = 162,294.14 × 81,781.52
  4. Step 4: Simplify right side
    117,570.74x = 13,272,660,849.28
  5. Step 5: Solve for x
    x = 13,272,660,849.28/117,570.74
  6. Step 6: Final answer
    x = 112,890.86

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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.