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Finding the Fourth Proportional to 223,624.20, 334,745.10 and 129,851.40

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Solution

The fourth proportional to 223,624.20, 334,745.10 and 129,851.40 is: 194,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,624.20 : 334,745.10 = 129,851.40 : x
  2. Step 2: Convert to fraction form
    223,624.20/334,745.10 = 129,851.40/x
  3. Step 3: Cross multiply
    223,624.20x = 334,745.10 × 129,851.40
  4. Step 4: Simplify right side
    223,624.20x = 43,467,119,878.14
  5. Step 5: Solve for x
    x = 43,467,119,878.14/223,624.20
  6. Step 6: Final answer
    x = 194,375.74

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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.