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Finding the Fourth Proportional to 107,728.40, 161,765.40 and 72,822.80

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Solution

The fourth proportional to 107,728.40, 161,765.40 and 72,822.80 is: 109,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,728.40 : 161,765.40 = 72,822.80 : x
  2. Step 2: Convert to fraction form
    107,728.40/161,765.40 = 72,822.80/x
  3. Step 3: Cross multiply
    107,728.40x = 161,765.40 × 72,822.80
  4. Step 4: Simplify right side
    107,728.40x = 11,780,209,371.12
  5. Step 5: Solve for x
    x = 11,780,209,371.12/107,728.40
  6. Step 6: Final answer
    x = 109,351.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.