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Finding the Fourth Proportional to 149,245, 205,891.50 and 100,831.36

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Solution

The fourth proportional to 149,245, 205,891.50 and 100,831.36 is: 139,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,245 : 205,891.50 = 100,831.36 : x
  2. Step 2: Convert to fraction form
    149,245/205,891.50 = 100,831.36/x
  3. Step 3: Cross multiply
    149,245x = 205,891.50 × 100,831.36
  4. Step 4: Simplify right side
    149,245x = 20,760,319,957.44
  5. Step 5: Solve for x
    x = 20,760,319,957.44/149,245
  6. Step 6: Final answer
    x = 139,102.28

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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.