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Finding the Fourth Proportional to 138,308.44, 207,416.44 and 54,046.84

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Solution

The fourth proportional to 138,308.44, 207,416.44 and 54,046.84 is: 81,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,308.44 : 207,416.44 = 54,046.84 : x
  2. Step 2: Convert to fraction form
    138,308.44/207,416.44 = 54,046.84/x
  3. Step 3: Cross multiply
    138,308.44x = 207,416.44 × 54,046.84
  4. Step 4: Simplify right side
    138,308.44x = 11,210,203,146.05
  5. Step 5: Solve for x
    x = 11,210,203,146.05/138,308.44
  6. Step 6: Final answer
    x = 81,052.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.