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Finding the Fourth Proportional to 273,101.16, 409,651.76 and 86,127.24

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Solution

The fourth proportional to 273,101.16, 409,651.76 and 86,127.24 is: 129,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,101.16 : 409,651.76 = 86,127.24 : x
  2. Step 2: Convert to fraction form
    273,101.16/409,651.76 = 86,127.24/x
  3. Step 3: Cross multiply
    273,101.16x = 409,651.76 × 86,127.24
  4. Step 4: Simplify right side
    273,101.16x = 35,282,175,449.94
  5. Step 5: Solve for x
    x = 35,282,175,449.94/273,101.16
  6. Step 6: Final answer
    x = 129,190.87

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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.