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Finding the Fourth Proportional to 107,242.32, 147,996.81 and 59,494.98

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Solution

The fourth proportional to 107,242.32, 147,996.81 and 59,494.98 is: 82,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,242.32 : 147,996.81 = 59,494.98 : x
  2. Step 2: Convert to fraction form
    107,242.32/147,996.81 = 59,494.98/x
  3. Step 3: Cross multiply
    107,242.32x = 147,996.81 × 59,494.98
  4. Step 4: Simplify right side
    107,242.32x = 8,805,067,251.01
  5. Step 5: Solve for x
    x = 8,805,067,251.01/107,242.32
  6. Step 6: Final answer
    x = 82,104.41

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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.