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Finding the Fourth Proportional to 267,661.76, 369,373.20 and 148,429.76

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Solution

The fourth proportional to 267,661.76, 369,373.20 and 148,429.76 is: 204,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,661.76 : 369,373.20 = 148,429.76 : x
  2. Step 2: Convert to fraction form
    267,661.76/369,373.20 = 148,429.76/x
  3. Step 3: Cross multiply
    267,661.76x = 369,373.20 × 148,429.76
  4. Step 4: Simplify right side
    267,661.76x = 54,825,975,426.43
  5. Step 5: Solve for x
    x = 54,825,975,426.43/267,661.76
  6. Step 6: Final answer
    x = 204,833.05

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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.