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Finding the Fourth Proportional to 99,852.73, 137,797.87 and 54,532.05

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Solution

The fourth proportional to 99,852.73, 137,797.87 and 54,532.05 is: 75,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,852.73 : 137,797.87 = 54,532.05 : x
  2. Step 2: Convert to fraction form
    99,852.73/137,797.87 = 54,532.05/x
  3. Step 3: Cross multiply
    99,852.73x = 137,797.87 × 54,532.05
  4. Step 4: Simplify right side
    99,852.73x = 7,514,400,340.24
  5. Step 5: Solve for x
    x = 7,514,400,340.24/99,852.73
  6. Step 6: Final answer
    x = 75,254.83

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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.