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Finding the Fourth Proportional to 267,409.66, 369,016.98 and 146,548.75

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Solution

The fourth proportional to 267,409.66, 369,016.98 and 146,548.75 is: 202,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,409.66 : 369,016.98 = 146,548.75 : x
  2. Step 2: Convert to fraction form
    267,409.66/369,016.98 = 146,548.75/x
  3. Step 3: Cross multiply
    267,409.66x = 369,016.98 × 146,548.75
  4. Step 4: Simplify right side
    267,409.66x = 54,078,977,147.78
  5. Step 5: Solve for x
    x = 54,078,977,147.78/267,409.66
  6. Step 6: Final answer
    x = 202,232.70

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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.