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Finding the Fourth Proportional to 165,993.98, 249,053.87 and 99,481.84

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Solution

The fourth proportional to 165,993.98, 249,053.87 and 99,481.84 is: 149,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,993.98 : 249,053.87 = 99,481.84 : x
  2. Step 2: Convert to fraction form
    165,993.98/249,053.87 = 99,481.84/x
  3. Step 3: Cross multiply
    165,993.98x = 249,053.87 × 99,481.84
  4. Step 4: Simplify right side
    165,993.98x = 24,776,336,872.79
  5. Step 5: Solve for x
    x = 24,776,336,872.79/165,993.98
  6. Step 6: Final answer
    x = 149,260.46

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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.