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Finding the Fourth Proportional to 272,927.80, 409,391.70 and 166,202.20

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Solution

The fourth proportional to 272,927.80, 409,391.70 and 166,202.20 is: 249,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,927.80 : 409,391.70 = 166,202.20 : x
  2. Step 2: Convert to fraction form
    272,927.80/409,391.70 = 166,202.20/x
  3. Step 3: Cross multiply
    272,927.80x = 409,391.70 × 166,202.20
  4. Step 4: Simplify right side
    272,927.80x = 68,041,801,201.74
  5. Step 5: Solve for x
    x = 68,041,801,201.74/272,927.80
  6. Step 6: Final answer
    x = 249,303.30

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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.