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Finding the Fourth Proportional to 225,466.16, 338,204.70 and 75,711.34

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Solution

The fourth proportional to 225,466.16, 338,204.70 and 75,711.34 is: 113,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,466.16 : 338,204.70 = 75,711.34 : x
  2. Step 2: Convert to fraction form
    225,466.16/338,204.70 = 75,711.34/x
  3. Step 3: Cross multiply
    225,466.16x = 338,204.70 × 75,711.34
  4. Step 4: Simplify right side
    225,466.16x = 25,605,931,031.30
  5. Step 5: Solve for x
    x = 25,605,931,031.30/225,466.16
  6. Step 6: Final answer
    x = 113,568.84

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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.