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Finding the Fourth Proportional to 107,506.67, 161,200.77 and 51,360.92

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Solution

The fourth proportional to 107,506.67, 161,200.77 and 51,360.92 is: 77,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,506.67 : 161,200.77 = 51,360.92 : x
  2. Step 2: Convert to fraction form
    107,506.67/161,200.77 = 51,360.92/x
  3. Step 3: Cross multiply
    107,506.67x = 161,200.77 × 51,360.92
  4. Step 4: Simplify right side
    107,506.67x = 8,279,419,851.91
  5. Step 5: Solve for x
    x = 8,279,419,851.91/107,506.67
  6. Step 6: Final answer
    x = 77,013.08

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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.