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Finding the Fourth Proportional to 100,251.77, 138,347.39 and 54,931.46

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Solution

The fourth proportional to 100,251.77, 138,347.39 and 54,931.46 is: 75,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251.77 : 138,347.39 = 54,931.46 : x
  2. Step 2: Convert to fraction form
    100,251.77/138,347.39 = 54,931.46/x
  3. Step 3: Cross multiply
    100,251.77x = 138,347.39 × 54,931.46
  4. Step 4: Simplify right side
    100,251.77x = 7,599,623,565.48
  5. Step 5: Solve for x
    x = 7,599,623,565.48/100,251.77
  6. Step 6: Final answer
    x = 75,805.38

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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.