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Finding the Fourth Proportional to 113,855.20, 170,782.80 and 78,863.20

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Solution

The fourth proportional to 113,855.20, 170,782.80 and 78,863.20 is: 118,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,855.20 : 170,782.80 = 78,863.20 : x
  2. Step 2: Convert to fraction form
    113,855.20/170,782.80 = 78,863.20/x
  3. Step 3: Cross multiply
    113,855.20x = 170,782.80 × 78,863.20
  4. Step 4: Simplify right side
    113,855.20x = 13,468,478,112.96
  5. Step 5: Solve for x
    x = 13,468,478,112.96/113,855.20
  6. Step 6: Final answer
    x = 118,294.80

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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.