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Finding the Fourth Proportional to 205,301.72, 307,952.28 and 65,049.42

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Solution

The fourth proportional to 205,301.72, 307,952.28 and 65,049.42 is: 97,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,301.72 : 307,952.28 = 65,049.42 : x
  2. Step 2: Convert to fraction form
    205,301.72/307,952.28 = 65,049.42/x
  3. Step 3: Cross multiply
    205,301.72x = 307,952.28 × 65,049.42
  4. Step 4: Simplify right side
    205,301.72x = 20,032,117,201.68
  5. Step 5: Solve for x
    x = 20,032,117,201.68/205,301.72
  6. Step 6: Final answer
    x = 97,574.03

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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.