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Finding the Fourth Proportional to 150,223.83, 225,348.03 and 50,384.85

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Solution

The fourth proportional to 150,223.83, 225,348.03 and 50,384.85 is: 75,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,223.83 : 225,348.03 = 50,384.85 : x
  2. Step 2: Convert to fraction form
    150,223.83/225,348.03 = 50,384.85/x
  3. Step 3: Cross multiply
    150,223.83x = 225,348.03 × 50,384.85
  4. Step 4: Simplify right side
    150,223.83x = 11,354,126,689.35
  5. Step 5: Solve for x
    x = 11,354,126,689.35/150,223.83
  6. Step 6: Final answer
    x = 75,581.40

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1.5x scale

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.