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Finding the Fourth Proportional to 138,905.62, 191,678.36 and 78,481.50

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Solution

The fourth proportional to 138,905.62, 191,678.36 and 78,481.50 is: 108,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,905.62 : 191,678.36 = 78,481.50 : x
  2. Step 2: Convert to fraction form
    138,905.62/191,678.36 = 78,481.50/x
  3. Step 3: Cross multiply
    138,905.62x = 191,678.36 × 78,481.50
  4. Step 4: Simplify right side
    138,905.62x = 15,043,205,210.34
  5. Step 5: Solve for x
    x = 15,043,205,210.34/138,905.62
  6. Step 6: Final answer
    x = 108,298.03

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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.