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Finding the Fourth Proportional to 226,858.32, 340,050.48 and 84,641.76

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Solution

The fourth proportional to 226,858.32, 340,050.48 and 84,641.76 is: 126,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,858.32 : 340,050.48 = 84,641.76 : x
  2. Step 2: Convert to fraction form
    226,858.32/340,050.48 = 84,641.76/x
  3. Step 3: Cross multiply
    226,858.32x = 340,050.48 × 84,641.76
  4. Step 4: Simplify right side
    226,858.32x = 28,782,471,116.04
  5. Step 5: Solve for x
    x = 28,782,471,116.04/226,858.32
  6. Step 6: Final answer
    x = 126,874.21

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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.