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Finding the Fourth Proportional to 92,378.39, 138,560.36 and 56,844.50

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Solution

The fourth proportional to 92,378.39, 138,560.36 and 56,844.50 is: 85,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,378.39 : 138,560.36 = 56,844.50 : x
  2. Step 2: Convert to fraction form
    92,378.39/138,560.36 = 56,844.50/x
  3. Step 3: Cross multiply
    92,378.39x = 138,560.36 × 56,844.50
  4. Step 4: Simplify right side
    92,378.39x = 7,876,394,446.20
  5. Step 5: Solve for x
    x = 7,876,394,446.20/92,378.39
  6. Step 6: Final answer
    x = 85,262.30

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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.