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Finding the Fourth Proportional to 284,013.01, 391,924.27 and 154,943.80

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Solution

The fourth proportional to 284,013.01, 391,924.27 and 154,943.80 is: 213,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,013.01 : 391,924.27 = 154,943.80 : x
  2. Step 2: Convert to fraction form
    284,013.01/391,924.27 = 154,943.80/x
  3. Step 3: Cross multiply
    284,013.01x = 391,924.27 × 154,943.80
  4. Step 4: Simplify right side
    284,013.01x = 60,726,235,706.03
  5. Step 5: Solve for x
    x = 60,726,235,706.03/284,013.01
  6. Step 6: Final answer
    x = 213,814.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.