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Finding the Fourth Proportional to 103,002.80, 142,132.11 and 57,674.48

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Solution

The fourth proportional to 103,002.80, 142,132.11 and 57,674.48 is: 79,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,002.80 : 142,132.11 = 57,674.48 : x
  2. Step 2: Convert to fraction form
    103,002.80/142,132.11 = 57,674.48/x
  3. Step 3: Cross multiply
    103,002.80x = 142,132.11 × 57,674.48
  4. Step 4: Simplify right side
    103,002.80x = 8,197,395,535.55
  5. Step 5: Solve for x
    x = 8,197,395,535.55/103,002.80
  6. Step 6: Final answer
    x = 79,584.20

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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.