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Finding the Fourth Proportional to 267,563.24, 369,253.86 and 148,331.24

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Solution

The fourth proportional to 267,563.24, 369,253.86 and 148,331.24 is: 204,706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,563.24 : 369,253.86 = 148,331.24 : x
  2. Step 2: Convert to fraction form
    267,563.24/369,253.86 = 148,331.24/x
  3. Step 3: Cross multiply
    267,563.24x = 369,253.86 × 148,331.24
  4. Step 4: Simplify right side
    267,563.24x = 54,771,882,928.59
  5. Step 5: Solve for x
    x = 54,771,882,928.59/267,563.24
  6. Step 6: Final answer
    x = 204,706.31

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Why These Related Problems?

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