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Finding the Fourth Proportional to 268,207.60, 402,538.20 and 110,549.20

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Solution

The fourth proportional to 268,207.60, 402,538.20 and 110,549.20 is: 165,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,207.60 : 402,538.20 = 110,549.20 : x
  2. Step 2: Convert to fraction form
    268,207.60/402,538.20 = 110,549.20/x
  3. Step 3: Cross multiply
    268,207.60x = 402,538.20 × 110,549.20
  4. Step 4: Simplify right side
    268,207.60x = 44,500,275,979.44
  5. Step 5: Solve for x
    x = 44,500,275,979.44/268,207.60
  6. Step 6: Final answer
    x = 165,917.28

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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.