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Finding the Fourth Proportional to 272,933.80, 409,400.70 and 166,208.20

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Solution

The fourth proportional to 272,933.80, 409,400.70 and 166,208.20 is: 249,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,933.80 : 409,400.70 = 166,208.20 : x
  2. Step 2: Convert to fraction form
    272,933.80/409,400.70 = 166,208.20/x
  3. Step 3: Cross multiply
    272,933.80x = 409,400.70 × 166,208.20
  4. Step 4: Simplify right side
    272,933.80x = 68,045,753,425.74
  5. Step 5: Solve for x
    x = 68,045,753,425.74/272,933.80
  6. Step 6: Final answer
    x = 249,312.30

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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.