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Finding the Fourth Proportional to 107,209.90, 147,947.34 and 59,462.20

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Solution

The fourth proportional to 107,209.90, 147,947.34 and 59,462.20 is: 82,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,209.90 : 147,947.34 = 59,462.20 : x
  2. Step 2: Convert to fraction form
    107,209.90/147,947.34 = 59,462.20/x
  3. Step 3: Cross multiply
    107,209.90x = 147,947.34 × 59,462.20
  4. Step 4: Simplify right side
    107,209.90x = 8,797,274,320.55
  5. Step 5: Solve for x
    x = 8,797,274,320.55/107,209.90
  6. Step 6: Final answer
    x = 82,056.55

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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.