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Finding the Fourth Proportional to 223,767.60, 335,658.60 and 83,540.40

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Solution

The fourth proportional to 223,767.60, 335,658.60 and 83,540.40 is: 125,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,767.60 : 335,658.60 = 83,540.40 : x
  2. Step 2: Convert to fraction form
    223,767.60/335,658.60 = 83,540.40/x
  3. Step 3: Cross multiply
    223,767.60x = 335,658.60 × 83,540.40
  4. Step 4: Simplify right side
    223,767.60x = 28,041,053,707.44
  5. Step 5: Solve for x
    x = 28,041,053,707.44/223,767.60
  6. Step 6: Final answer
    x = 125,313.29

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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.