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Finding the Fourth Proportional to 138,759.12, 191,473.20 and 78,333.12

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Solution

The fourth proportional to 138,759.12, 191,473.20 and 78,333.12 is: 108,091.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,759.12 : 191,473.20 = 78,333.12 : x
  2. Step 2: Convert to fraction form
    138,759.12/191,473.20 = 78,333.12/x
  3. Step 3: Cross multiply
    138,759.12x = 191,473.20 × 78,333.12
  4. Step 4: Simplify right side
    138,759.12x = 14,998,693,152.38
  5. Step 5: Solve for x
    x = 14,998,693,152.38/138,759.12
  6. Step 6: Final answer
    x = 108,091.58

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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.