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Finding the Fourth Proportional to 268,072.32, 369,943.65 and 147,224.46

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Solution

The fourth proportional to 268,072.32, 369,943.65 and 147,224.46 is: 203,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,072.32 : 369,943.65 = 147,224.46 : x
  2. Step 2: Convert to fraction form
    268,072.32/369,943.65 = 147,224.46/x
  3. Step 3: Cross multiply
    268,072.32x = 369,943.65 × 147,224.46
  4. Step 4: Simplify right side
    268,072.32x = 54,464,754,101.68
  5. Step 5: Solve for x
    x = 54,464,754,101.68/268,072.32
  6. Step 6: Final answer
    x = 203,171.87

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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.