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Finding the Fourth Proportional to 230,738.80, 318,441.84 and 140,073.76

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Solution

The fourth proportional to 230,738.80, 318,441.84 and 140,073.76 is: 193,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,738.80 : 318,441.84 = 140,073.76 : x
  2. Step 2: Convert to fraction form
    230,738.80/318,441.84 = 140,073.76/x
  3. Step 3: Cross multiply
    230,738.80x = 318,441.84 × 140,073.76
  4. Step 4: Simplify right side
    230,738.80x = 44,605,345,870.12
  5. Step 5: Solve for x
    x = 44,605,345,870.12/230,738.80
  6. Step 6: Final answer
    x = 193,315.32

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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.