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Finding the Fourth Proportional to 166,221.20, 249,418.20 and 72,736.40

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Solution

The fourth proportional to 166,221.20, 249,418.20 and 72,736.40 is: 109,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,221.20 : 249,418.20 = 72,736.40 : x
  2. Step 2: Convert to fraction form
    166,221.20/249,418.20 = 72,736.40/x
  3. Step 3: Cross multiply
    166,221.20x = 249,418.20 × 72,736.40
  4. Step 4: Simplify right side
    166,221.20x = 18,141,781,962.48
  5. Step 5: Solve for x
    x = 18,141,781,962.48/166,221.20
  6. Step 6: Final answer
    x = 109,142.41

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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.