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Finding the Fourth Proportional to 230,375.40, 317,943.81 and 128,410.17

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Solution

The fourth proportional to 230,375.40, 317,943.81 and 128,410.17 is: 177,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,375.40 : 317,943.81 = 128,410.17 : x
  2. Step 2: Convert to fraction form
    230,375.40/317,943.81 = 128,410.17/x
  3. Step 3: Cross multiply
    230,375.40x = 317,943.81 × 128,410.17
  4. Step 4: Simplify right side
    230,375.40x = 40,827,218,692.55
  5. Step 5: Solve for x
    x = 40,827,218,692.55/230,375.40
  6. Step 6: Final answer
    x = 177,220.39

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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.