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Finding the Fourth Proportional to 107,318.40, 160,843.20 and 54,748.80

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Solution

The fourth proportional to 107,318.40, 160,843.20 and 54,748.80 is: 82,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,318.40 : 160,843.20 = 54,748.80 : x
  2. Step 2: Convert to fraction form
    107,318.40/160,843.20 = 54,748.80/x
  3. Step 3: Cross multiply
    107,318.40x = 160,843.20 × 54,748.80
  4. Step 4: Simplify right side
    107,318.40x = 8,805,972,188.16
  5. Step 5: Solve for x
    x = 8,805,972,188.16/107,318.40
  6. Step 6: Final answer
    x = 82,054.64

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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.