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Finding the Fourth Proportional to 272,741.99, 409,003.61 and 160,451.69

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Solution

The fourth proportional to 272,741.99, 409,003.61 and 160,451.69 is: 240,613.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,741.99 : 409,003.61 = 160,451.69 : x
  2. Step 2: Convert to fraction form
    272,741.99/409,003.61 = 160,451.69/x
  3. Step 3: Cross multiply
    272,741.99x = 409,003.61 × 160,451.69
  4. Step 4: Simplify right side
    272,741.99x = 65,625,317,593.32
  5. Step 5: Solve for x
    x = 65,625,317,593.32/272,741.99
  6. Step 6: Final answer
    x = 240,613.18

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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.