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Finding the Fourth Proportional to 99,831.30, 137,766.15 and 54,509.15

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Solution

The fourth proportional to 99,831.30, 137,766.15 and 54,509.15 is: 75,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.30 : 137,766.15 = 54,509.15 : x
  2. Step 2: Convert to fraction form
    99,831.30/137,766.15 = 54,509.15/x
  3. Step 3: Cross multiply
    99,831.30x = 137,766.15 × 54,509.15
  4. Step 4: Simplify right side
    99,831.30x = 7,509,515,735.27
  5. Step 5: Solve for x
    x = 7,509,515,735.27/99,831.30
  6. Step 6: Final answer
    x = 75,222.06

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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.