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Finding the Fourth Proportional to 205,675.92, 283,831.97 and 115,031.52

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Solution

The fourth proportional to 205,675.92, 283,831.97 and 115,031.52 is: 158,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,675.92 : 283,831.97 = 115,031.52 : x
  2. Step 2: Convert to fraction form
    205,675.92/283,831.97 = 115,031.52/x
  3. Step 3: Cross multiply
    205,675.92x = 283,831.97 × 115,031.52
  4. Step 4: Simplify right side
    205,675.92x = 32,649,622,358.54
  5. Step 5: Solve for x
    x = 32,649,622,358.54/205,675.92
  6. Step 6: Final answer
    x = 158,743.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.