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Finding the Fourth Proportional to 268,020.40, 401,884.80 and 110,264.80

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Solution

The fourth proportional to 268,020.40, 401,884.80 and 110,264.80 is: 165,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,020.40 : 401,884.80 = 110,264.80 : x
  2. Step 2: Convert to fraction form
    268,020.40/401,884.80 = 110,264.80/x
  3. Step 3: Cross multiply
    268,020.40x = 401,884.80 × 110,264.80
  4. Step 4: Simplify right side
    268,020.40x = 44,313,747,095.04
  5. Step 5: Solve for x
    x = 44,313,747,095.04/268,020.40
  6. Step 6: Final answer
    x = 165,337.22

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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.