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Finding the Fourth Proportional to 223,377.20, 335,065.80 and 57,165.20

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Solution

The fourth proportional to 223,377.20, 335,065.80 and 57,165.20 is: 85,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,377.20 : 335,065.80 = 57,165.20 : x
  2. Step 2: Convert to fraction form
    223,377.20/335,065.80 = 57,165.20/x
  3. Step 3: Cross multiply
    223,377.20x = 335,065.80 × 57,165.20
  4. Step 4: Simplify right side
    223,377.20x = 19,154,101,794.83
  5. Step 5: Solve for x
    x = 19,154,101,794.83/223,377.20
  6. Step 6: Final answer
    x = 85,747.79

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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.