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Finding the Fourth Proportional to 225,753.64, 338,817.30 and 113,466.04

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Solution

The fourth proportional to 225,753.64, 338,817.30 and 113,466.04 is: 170,292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,753.64 : 338,817.30 = 113,466.04 : x
  2. Step 2: Convert to fraction form
    225,753.64/338,817.30 = 113,466.04/x
  3. Step 3: Cross multiply
    225,753.64x = 338,817.30 × 113,466.04
  4. Step 4: Simplify right side
    225,753.64x = 38,444,257,314.49
  5. Step 5: Solve for x
    x = 38,444,257,314.49/225,753.64
  6. Step 6: Final answer
    x = 170,292.97

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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.