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Finding the Fourth Proportional to 230,063.90, 317,439.41 and 145,131.75

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Solution

The fourth proportional to 230,063.90, 317,439.41 and 145,131.75 is: 200,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,063.90 : 317,439.41 = 145,131.75 : x
  2. Step 2: Convert to fraction form
    230,063.90/317,439.41 = 145,131.75/x
  3. Step 3: Cross multiply
    230,063.90x = 317,439.41 × 145,131.75
  4. Step 4: Simplify right side
    230,063.90x = 46,070,536,366.61
  5. Step 5: Solve for x
    x = 46,070,536,366.61/230,063.90
  6. Step 6: Final answer
    x = 200,251.05

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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.