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Finding the Fourth Proportional to 107,142.76, 147,863.46 and 59,398.12

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Solution

The fourth proportional to 107,142.76, 147,863.46 and 59,398.12 is: 81,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142.76 : 147,863.46 = 59,398.12 : x
  2. Step 2: Convert to fraction form
    107,142.76/147,863.46 = 59,398.12/x
  3. Step 3: Cross multiply
    107,142.76x = 147,863.46 × 59,398.12
  4. Step 4: Simplify right side
    107,142.76x = 8,782,811,540.70
  5. Step 5: Solve for x
    x = 8,782,811,540.70/107,142.76
  6. Step 6: Final answer
    x = 81,972.98

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1.5x scale

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.