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Finding the Fourth Proportional to 267,233.44, 368,842.84 and 166,612

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Solution

The fourth proportional to 267,233.44, 368,842.84 and 166,612 is: 229,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,233.44 : 368,842.84 = 166,612 : x
  2. Step 2: Convert to fraction form
    267,233.44/368,842.84 = 166,612/x
  3. Step 3: Cross multiply
    267,233.44x = 368,842.84 × 166,612
  4. Step 4: Simplify right side
    267,233.44x = 61,453,643,258.08
  5. Step 5: Solve for x
    x = 61,453,643,258.08/267,233.44
  6. Step 6: Final answer
    x = 229,962.40

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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.