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Finding the Fourth Proportional to 267,438.30, 369,016.47 and 171,923.10

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Solution

The fourth proportional to 267,438.30, 369,016.47 and 171,923.10 is: 237,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,438.30 : 369,016.47 = 171,923.10 : x
  2. Step 2: Convert to fraction form
    267,438.30/369,016.47 = 171,923.10/x
  3. Step 3: Cross multiply
    267,438.30x = 369,016.47 × 171,923.10
  4. Step 4: Simplify right side
    267,438.30x = 63,442,455,473.46
  5. Step 5: Solve for x
    x = 63,442,455,473.46/267,438.30
  6. Step 6: Final answer
    x = 237,222.77

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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.