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Finding the Fourth Proportional to 105,723, 145,884.33 and 57,963.78

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Solution

The fourth proportional to 105,723, 145,884.33 and 57,963.78 is: 79,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,723 : 145,884.33 = 57,963.78 : x
  2. Step 2: Convert to fraction form
    105,723/145,884.33 = 57,963.78/x
  3. Step 3: Cross multiply
    105,723x = 145,884.33 × 57,963.78
  4. Step 4: Simplify right side
    105,723x = 8,456,007,209.57
  5. Step 5: Solve for x
    x = 8,456,007,209.57/105,723
  6. Step 6: Final answer
    x = 79,982.66

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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.