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Finding the Fourth Proportional to 267,757.16, 369,505.06 and 148,525.16

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Solution

The fourth proportional to 267,757.16, 369,505.06 and 148,525.16 is: 204,964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,757.16 : 369,505.06 = 148,525.16 : x
  2. Step 2: Convert to fraction form
    267,757.16/369,505.06 = 148,525.16/x
  3. Step 3: Cross multiply
    267,757.16x = 369,505.06 × 148,525.16
  4. Step 4: Simplify right side
    267,757.16x = 54,880,798,157.31
  5. Step 5: Solve for x
    x = 54,880,798,157.31/267,757.16
  6. Step 6: Final answer
    x = 204,964.82

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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.