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Finding the Fourth Proportional to 133,901.14, 200,851.49 and 54,959.76

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Solution

The fourth proportional to 133,901.14, 200,851.49 and 54,959.76 is: 82,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,901.14 : 200,851.49 = 54,959.76 : x
  2. Step 2: Convert to fraction form
    133,901.14/200,851.49 = 54,959.76/x
  3. Step 3: Cross multiply
    133,901.14x = 200,851.49 × 54,959.76
  4. Step 4: Simplify right side
    133,901.14x = 11,038,749,686.04
  5. Step 5: Solve for x
    x = 11,038,749,686.04/133,901.14
  6. Step 6: Final answer
    x = 82,439.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.