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Finding the Fourth Proportional to 381,756.38, 572,381.84 and 182,107.58

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Solution

The fourth proportional to 381,756.38, 572,381.84 and 182,107.58 is: 273,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,756.38 : 572,381.84 = 182,107.58 : x
  2. Step 2: Convert to fraction form
    381,756.38/572,381.84 = 182,107.58/x
  3. Step 3: Cross multiply
    381,756.38x = 572,381.84 × 182,107.58
  4. Step 4: Simplify right side
    381,756.38x = 104,235,069,311.71
  5. Step 5: Solve for x
    x = 104,235,069,311.71/381,756.38
  6. Step 6: Final answer
    x = 273,040.81

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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.