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Finding the Fourth Proportional to 223,234.20, 334,851.30 and 152,375.40

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Solution

The fourth proportional to 223,234.20, 334,851.30 and 152,375.40 is: 228,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,234.20 : 334,851.30 = 152,375.40 : x
  2. Step 2: Convert to fraction form
    223,234.20/334,851.30 = 152,375.40/x
  3. Step 3: Cross multiply
    223,234.20x = 334,851.30 × 152,375.40
  4. Step 4: Simplify right side
    223,234.20x = 51,023,100,778.02
  5. Step 5: Solve for x
    x = 51,023,100,778.02/223,234.20
  6. Step 6: Final answer
    x = 228,563.10

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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.