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Finding the Fourth Proportional to 234,205, 351,351.90 and 93,974.68

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Solution

The fourth proportional to 234,205, 351,351.90 and 93,974.68 is: 140,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,205 : 351,351.90 = 93,974.68 : x
  2. Step 2: Convert to fraction form
    234,205/351,351.90 = 93,974.68/x
  3. Step 3: Cross multiply
    234,205x = 351,351.90 × 93,974.68
  4. Step 4: Simplify right side
    234,205x = 33,018,182,369.89
  5. Step 5: Solve for x
    x = 33,018,182,369.89/234,205
  6. Step 6: Final answer
    x = 140,979.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.