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Finding the Fourth Proportional to 107,951.90, 161,927.85 and 81,707.90

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Solution

The fourth proportional to 107,951.90, 161,927.85 and 81,707.90 is: 122,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,951.90 : 161,927.85 = 81,707.90 : x
  2. Step 2: Convert to fraction form
    107,951.90/161,927.85 = 81,707.90/x
  3. Step 3: Cross multiply
    107,951.90x = 161,927.85 × 81,707.90
  4. Step 4: Simplify right side
    107,951.90x = 13,230,784,575.02
  5. Step 5: Solve for x
    x = 13,230,784,575.02/107,951.90
  6. Step 6: Final answer
    x = 122,561.85

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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.