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Finding the Fourth Proportional to 109,727.70, 151,422.03 and 61,983.06

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Solution

The fourth proportional to 109,727.70, 151,422.03 and 61,983.06 is: 85,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,727.70 : 151,422.03 = 61,983.06 : x
  2. Step 2: Convert to fraction form
    109,727.70/151,422.03 = 61,983.06/x
  3. Step 3: Cross multiply
    109,727.70x = 151,422.03 × 61,983.06
  4. Step 4: Simplify right side
    109,727.70x = 9,385,600,770.81
  5. Step 5: Solve for x
    x = 9,385,600,770.81/109,727.70
  6. Step 6: Final answer
    x = 85,535.38

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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.