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Finding the Fourth Proportional to 109,958.28, 151,742.88 and 59,657.28

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Solution

The fourth proportional to 109,958.28, 151,742.88 and 59,657.28 is: 82,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,958.28 : 151,742.88 = 59,657.28 : x
  2. Step 2: Convert to fraction form
    109,958.28/151,742.88 = 59,657.28/x
  3. Step 3: Cross multiply
    109,958.28x = 151,742.88 × 59,657.28
  4. Step 4: Simplify right side
    109,958.28x = 9,052,567,480.17
  5. Step 5: Solve for x
    x = 9,052,567,480.17/109,958.28
  6. Step 6: Final answer
    x = 82,327.29

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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.