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Finding the Fourth Proportional to 185,713.36, 256,286.28 and 100,831.12

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Solution

The fourth proportional to 185,713.36, 256,286.28 and 100,831.12 is: 139,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,713.36 : 256,286.28 = 100,831.12 : x
  2. Step 2: Convert to fraction form
    185,713.36/256,286.28 = 100,831.12/x
  3. Step 3: Cross multiply
    185,713.36x = 256,286.28 × 100,831.12
  4. Step 4: Simplify right side
    185,713.36x = 25,841,632,653.03
  5. Step 5: Solve for x
    x = 25,841,632,653.03/185,713.36
  6. Step 6: Final answer
    x = 139,147.95

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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.