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Finding the Fourth Proportional to 259,304, 357,839.84 and 140,072

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Solution

The fourth proportional to 259,304, 357,839.84 and 140,072 is: 193,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,304 : 357,839.84 = 140,072 : x
  2. Step 2: Convert to fraction form
    259,304/357,839.84 = 140,072/x
  3. Step 3: Cross multiply
    259,304x = 357,839.84 × 140,072
  4. Step 4: Simplify right side
    259,304x = 50,123,342,068.48
  5. Step 5: Solve for x
    x = 50,123,342,068.48/259,304
  6. Step 6: Final answer
    x = 193,299.53

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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.