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Finding the Fourth Proportional to 381,762.84, 572,498.22 and 125,535.72

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Solution

The fourth proportional to 381,762.84, 572,498.22 and 125,535.72 is: 188,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,762.84 : 572,498.22 = 125,535.72 : x
  2. Step 2: Convert to fraction form
    381,762.84/572,498.22 = 125,535.72/x
  3. Step 3: Cross multiply
    381,762.84x = 572,498.22 × 125,535.72
  4. Step 4: Simplify right side
    381,762.84x = 71,868,976,246.42
  5. Step 5: Solve for x
    x = 71,868,976,246.42/381,762.84
  6. Step 6: Final answer
    x = 188,255.56

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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.