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Finding the Fourth Proportional to 77,279.20, 115,918.80 and 53,432.80

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Solution

The fourth proportional to 77,279.20, 115,918.80 and 53,432.80 is: 80,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,279.20 : 115,918.80 = 53,432.80 : x
  2. Step 2: Convert to fraction form
    77,279.20/115,918.80 = 53,432.80/x
  3. Step 3: Cross multiply
    77,279.20x = 115,918.80 × 53,432.80
  4. Step 4: Simplify right side
    77,279.20x = 6,193,866,056.64
  5. Step 5: Solve for x
    x = 6,193,866,056.64/77,279.20
  6. Step 6: Final answer
    x = 80,149.20

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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.