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Finding the Fourth Proportional to 270,937.80, 406,637.10 and 121,408.20

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Solution

The fourth proportional to 270,937.80, 406,637.10 and 121,408.20 is: 182,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,937.80 : 406,637.10 = 121,408.20 : x
  2. Step 2: Convert to fraction form
    270,937.80/406,637.10 = 121,408.20/x
  3. Step 3: Cross multiply
    270,937.80x = 406,637.10 × 121,408.20
  4. Step 4: Simplify right side
    270,937.80x = 49,369,078,364.22
  5. Step 5: Solve for x
    x = 49,369,078,364.22/270,937.80
  6. Step 6: Final answer
    x = 182,215.54

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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.