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Finding the Fourth Proportional to 166,625.80, 249,624.80 and 82,287.24

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Solution

The fourth proportional to 166,625.80, 249,624.80 and 82,287.24 is: 123,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,625.80 : 249,624.80 = 82,287.24 : x
  2. Step 2: Convert to fraction form
    166,625.80/249,624.80 = 82,287.24/x
  3. Step 3: Cross multiply
    166,625.80x = 249,624.80 × 82,287.24
  4. Step 4: Simplify right side
    166,625.80x = 20,540,935,827.55
  5. Step 5: Solve for x
    x = 20,540,935,827.55/166,625.80
  6. Step 6: Final answer
    x = 123,275.84

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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.