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Finding the Fourth Proportional to 99,831.30, 137,770.03 and 54,512.16

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Solution

The fourth proportional to 99,831.30, 137,770.03 and 54,512.16 is: 75,228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,831.30 : 137,770.03 = 54,512.16 : x
  2. Step 2: Convert to fraction form
    99,831.30/137,770.03 = 54,512.16/x
  3. Step 3: Cross multiply
    99,831.30x = 137,770.03 × 54,512.16
  4. Step 4: Simplify right side
    99,831.30x = 7,510,141,229.71
  5. Step 5: Solve for x
    x = 7,510,141,229.71/99,831.30
  6. Step 6: Final answer
    x = 75,228.32

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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.