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Finding the Fourth Proportional to 284,146.67, 426,344.80 and 149,179.38

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Solution

The fourth proportional to 284,146.67, 426,344.80 and 149,179.38 is: 223,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,146.67 : 426,344.80 = 149,179.38 : x
  2. Step 2: Convert to fraction form
    284,146.67/426,344.80 = 149,179.38/x
  3. Step 3: Cross multiply
    284,146.67x = 426,344.80 × 149,179.38
  4. Step 4: Simplify right side
    284,146.67x = 63,601,852,930.22
  5. Step 5: Solve for x
    x = 63,601,852,930.22/284,146.67
  6. Step 6: Final answer
    x = 223,834.59

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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.