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Finding the Fourth Proportional to 92,290.98, 138,393.14 and 54,856.02

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Solution

The fourth proportional to 92,290.98, 138,393.14 and 54,856.02 is: 82,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,290.98 : 138,393.14 = 54,856.02 : x
  2. Step 2: Convert to fraction form
    92,290.98/138,393.14 = 54,856.02/x
  3. Step 3: Cross multiply
    92,290.98x = 138,393.14 × 54,856.02
  4. Step 4: Simplify right side
    92,290.98x = 7,591,696,581.42
  5. Step 5: Solve for x
    x = 7,591,696,581.42/92,290.98
  6. Step 6: Final answer
    x = 82,258.27

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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.