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Finding the Fourth Proportional to 100,251.82, 138,313.46 and 57,200.40

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Solution

The fourth proportional to 100,251.82, 138,313.46 and 57,200.40 is: 78,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251.82 : 138,313.46 = 57,200.40 : x
  2. Step 2: Convert to fraction form
    100,251.82/138,313.46 = 57,200.40/x
  3. Step 3: Cross multiply
    100,251.82x = 138,313.46 × 57,200.40
  4. Step 4: Simplify right side
    100,251.82x = 7,911,585,237.38
  5. Step 5: Solve for x
    x = 7,911,585,237.38/100,251.82
  6. Step 6: Final answer
    x = 78,917.12

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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.