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Finding the Fourth Proportional to 97,296, 134,251.20 and 54,856.32

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Solution

The fourth proportional to 97,296, 134,251.20 and 54,856.32 is: 75,691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,296 : 134,251.20 = 54,856.32 : x
  2. Step 2: Convert to fraction form
    97,296/134,251.20 = 54,856.32/x
  3. Step 3: Cross multiply
    97,296x = 134,251.20 × 54,856.32
  4. Step 4: Simplify right side
    97,296x = 7,364,526,787.58
  5. Step 5: Solve for x
    x = 7,364,526,787.58/97,296
  6. Step 6: Final answer
    x = 75,691.98

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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.