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Finding the Fourth Proportional to 272,891.77, 408,885.11 and 165,952.24

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Solution

The fourth proportional to 272,891.77, 408,885.11 and 165,952.24 is: 248,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,891.77 : 408,885.11 = 165,952.24 : x
  2. Step 2: Convert to fraction form
    272,891.77/408,885.11 = 165,952.24/x
  3. Step 3: Cross multiply
    272,891.77x = 408,885.11 × 165,952.24
  4. Step 4: Simplify right side
    272,891.77x = 67,855,400,322.03
  5. Step 5: Solve for x
    x = 67,855,400,322.03/272,891.77
  6. Step 6: Final answer
    x = 248,653.16

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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.