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Finding the Fourth Proportional to 257,191.11, 354,923.67 and 142,477.18

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Solution

The fourth proportional to 257,191.11, 354,923.67 and 142,477.18 is: 196,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.11 : 354,923.67 = 142,477.18 : x
  2. Step 2: Convert to fraction form
    257,191.11/354,923.67 = 142,477.18/x
  3. Step 3: Cross multiply
    257,191.11x = 354,923.67 × 142,477.18
  4. Step 4: Simplify right side
    257,191.11x = 50,568,523,263.83
  5. Step 5: Solve for x
    x = 50,568,523,263.83/257,191.11
  6. Step 6: Final answer
    x = 196,618.47

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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.