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Finding the Fourth Proportional to 129,660.24, 178,945.44 and 75,224.40

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Solution

The fourth proportional to 129,660.24, 178,945.44 and 75,224.40 is: 103,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,660.24 : 178,945.44 = 75,224.40 : x
  2. Step 2: Convert to fraction form
    129,660.24/178,945.44 = 75,224.40/x
  3. Step 3: Cross multiply
    129,660.24x = 178,945.44 × 75,224.40
  4. Step 4: Simplify right side
    129,660.24x = 13,461,063,356.74
  5. Step 5: Solve for x
    x = 13,461,063,356.74/129,660.24
  6. Step 6: Final answer
    x = 103,817.97

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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.