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Finding the Fourth Proportional to 99,198.54, 148,797.68 and 29,077.79

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Solution

The fourth proportional to 99,198.54, 148,797.68 and 29,077.79 is: 43,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,198.54 : 148,797.68 = 29,077.79 : x
  2. Step 2: Convert to fraction form
    99,198.54/148,797.68 = 29,077.79/x
  3. Step 3: Cross multiply
    99,198.54x = 148,797.68 × 29,077.79
  4. Step 4: Simplify right side
    99,198.54x = 4,326,706,802.15
  5. Step 5: Solve for x
    x = 4,326,706,802.15/99,198.54
  6. Step 6: Final answer
    x = 43,616.64

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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.