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Finding the Fourth Proportional to 107,527.37, 148,168.92 and 83,180.43

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Solution

The fourth proportional to 107,527.37, 148,168.92 and 83,180.43 is: 114,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,527.37 : 148,168.92 = 83,180.43 : x
  2. Step 2: Convert to fraction form
    107,527.37/148,168.92 = 83,180.43/x
  3. Step 3: Cross multiply
    107,527.37x = 148,168.92 × 83,180.43
  4. Step 4: Simplify right side
    107,527.37x = 12,324,754,790.16
  5. Step 5: Solve for x
    x = 12,324,754,790.16/107,527.37
  6. Step 6: Final answer
    x = 114,619.70

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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.