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Finding the Fourth Proportional to 99,198.84, 136,893.96 and 53,876.48

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Solution

The fourth proportional to 99,198.84, 136,893.96 and 53,876.48 is: 74,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,198.84 : 136,893.96 = 53,876.48 : x
  2. Step 2: Convert to fraction form
    99,198.84/136,893.96 = 53,876.48/x
  3. Step 3: Cross multiply
    99,198.84x = 136,893.96 × 53,876.48
  4. Step 4: Simplify right side
    99,198.84x = 7,375,364,698.06
  5. Step 5: Solve for x
    x = 7,375,364,698.06/99,198.84
  6. Step 6: Final answer
    x = 74,349.30

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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.