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Finding the Fourth Proportional to 225,835.98, 338,885.20 and 101,176.98

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Solution

The fourth proportional to 225,835.98, 338,885.20 and 101,176.98 is: 151,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,835.98 : 338,885.20 = 101,176.98 : x
  2. Step 2: Convert to fraction form
    225,835.98/338,885.20 = 101,176.98/x
  3. Step 3: Cross multiply
    225,835.98x = 338,885.20 × 101,176.98
  4. Step 4: Simplify right side
    225,835.98x = 34,287,381,102.70
  5. Step 5: Solve for x
    x = 34,287,381,102.70/225,835.98
  6. Step 6: Final answer
    x = 151,824.26

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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.