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Finding the Fourth Proportional to 100,155.70, 138,214.88 and 54,833.95

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Solution

The fourth proportional to 100,155.70, 138,214.88 and 54,833.95 is: 75,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,155.70 : 138,214.88 = 54,833.95 : x
  2. Step 2: Convert to fraction form
    100,155.70/138,214.88 = 54,833.95/x
  3. Step 3: Cross multiply
    100,155.70x = 138,214.88 × 54,833.95
  4. Step 4: Simplify right side
    100,155.70x = 7,578,867,819.18
  5. Step 5: Solve for x
    x = 7,578,867,819.18/100,155.70
  6. Step 6: Final answer
    x = 75,670.86

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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.