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Finding the Fourth Proportional to 267,403.20, 401,104.80 and 109,744.80

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Solution

The fourth proportional to 267,403.20, 401,104.80 and 109,744.80 is: 164,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,403.20 : 401,104.80 = 109,744.80 : x
  2. Step 2: Convert to fraction form
    267,403.20/401,104.80 = 109,744.80/x
  3. Step 3: Cross multiply
    267,403.20x = 401,104.80 × 109,744.80
  4. Step 4: Simplify right side
    267,403.20x = 44,019,166,055.04
  5. Step 5: Solve for x
    x = 44,019,166,055.04/267,403.20
  6. Step 6: Final answer
    x = 164,617.20

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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.