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Finding the Fourth Proportional to 107,806.80, 161,710.20 and 92,254.80

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Solution

The fourth proportional to 107,806.80, 161,710.20 and 92,254.80 is: 138,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,806.80 : 161,710.20 = 92,254.80 : x
  2. Step 2: Convert to fraction form
    107,806.80/161,710.20 = 92,254.80/x
  3. Step 3: Cross multiply
    107,806.80x = 161,710.20 × 92,254.80
  4. Step 4: Simplify right side
    107,806.80x = 14,918,542,158.96
  5. Step 5: Solve for x
    x = 14,918,542,158.96/107,806.80
  6. Step 6: Final answer
    x = 138,382.20

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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.