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Finding the Fourth Proportional to 381,503.20, 572,254.80 and 101,048.80

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Solution

The fourth proportional to 381,503.20, 572,254.80 and 101,048.80 is: 151,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,503.20 : 572,254.80 = 101,048.80 : x
  2. Step 2: Convert to fraction form
    381,503.20/572,254.80 = 101,048.80/x
  3. Step 3: Cross multiply
    381,503.20x = 572,254.80 × 101,048.80
  4. Step 4: Simplify right side
    381,503.20x = 57,825,660,834.24
  5. Step 5: Solve for x
    x = 57,825,660,834.24/381,503.20
  6. Step 6: Final answer
    x = 151,573.20

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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.