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Finding the Fourth Proportional to 261,782.46, 391,853.16 and 180,253.80

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Solution

The fourth proportional to 261,782.46, 391,853.16 and 180,253.80 is: 269,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782.46 : 391,853.16 = 180,253.80 : x
  2. Step 2: Convert to fraction form
    261,782.46/391,853.16 = 180,253.80/x
  3. Step 3: Cross multiply
    261,782.46x = 391,853.16 × 180,253.80
  4. Step 4: Simplify right side
    261,782.46x = 70,633,021,132.01
  5. Step 5: Solve for x
    x = 70,633,021,132.01/261,782.46
  6. Step 6: Final answer
    x = 269,815.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.