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Finding the Fourth Proportional to 205,589.92, 307,540.08 and 164,117.92

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Solution

The fourth proportional to 205,589.92, 307,540.08 and 164,117.92 is: 245,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,589.92 : 307,540.08 = 164,117.92 : x
  2. Step 2: Convert to fraction form
    205,589.92/307,540.08 = 164,117.92/x
  3. Step 3: Cross multiply
    205,589.92x = 307,540.08 × 164,117.92
  4. Step 4: Simplify right side
    205,589.92x = 50,472,838,246.23
  5. Step 5: Solve for x
    x = 50,472,838,246.23/205,589.92
  6. Step 6: Final answer
    x = 245,502.49

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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.