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Finding the Fourth Proportional to 228,551.52, 343,048.41 and 110,306.10

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Solution

The fourth proportional to 228,551.52, 343,048.41 and 110,306.10 is: 165,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,551.52 : 343,048.41 = 110,306.10 : x
  2. Step 2: Convert to fraction form
    228,551.52/343,048.41 = 110,306.10/x
  3. Step 3: Cross multiply
    228,551.52x = 343,048.41 × 110,306.10
  4. Step 4: Simplify right side
    228,551.52x = 37,840,332,218.30
  5. Step 5: Solve for x
    x = 37,840,332,218.30/228,551.52
  6. Step 6: Final answer
    x = 165,565.87

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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.