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Finding the Fourth Proportional to 100,156.45, 138,217.54 and 54,833.68

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Solution

The fourth proportional to 100,156.45, 138,217.54 and 54,833.68 is: 75,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,156.45 : 138,217.54 = 54,833.68 : x
  2. Step 2: Convert to fraction form
    100,156.45/138,217.54 = 54,833.68/x
  3. Step 3: Cross multiply
    100,156.45x = 138,217.54 × 54,833.68
  4. Step 4: Simplify right side
    100,156.45x = 7,578,976,358.75
  5. Step 5: Solve for x
    x = 7,578,976,358.75/100,156.45
  6. Step 6: Final answer
    x = 75,671.38

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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.