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Finding the Fourth Proportional to 99,122.32, 136,780.56 and 54,410.32

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Solution

The fourth proportional to 99,122.32, 136,780.56 and 54,410.32 is: 75,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,122.32 : 136,780.56 = 54,410.32 : x
  2. Step 2: Convert to fraction form
    99,122.32/136,780.56 = 54,410.32/x
  3. Step 3: Cross multiply
    99,122.32x = 136,780.56 × 54,410.32
  4. Step 4: Simplify right side
    99,122.32x = 7,442,274,039.38
  5. Step 5: Solve for x
    x = 7,442,274,039.38/99,122.32
  6. Step 6: Final answer
    x = 75,081.72

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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.