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Finding the Fourth Proportional to 92,260.56, 138,434.58 and 54,894.48

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Solution

The fourth proportional to 92,260.56, 138,434.58 and 54,894.48 is: 82,367.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,260.56 : 138,434.58 = 54,894.48 : x
  2. Step 2: Convert to fraction form
    92,260.56/138,434.58 = 54,894.48/x
  3. Step 3: Cross multiply
    92,260.56x = 138,434.58 × 54,894.48
  4. Step 4: Simplify right side
    92,260.56x = 7,599,294,283.12
  5. Step 5: Solve for x
    x = 7,599,294,283.12/92,260.56
  6. Step 6: Final answer
    x = 82,367.75

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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.