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Finding the Fourth Proportional to 278,575.33, 418,028.99 and 101,096.17

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Solution

The fourth proportional to 278,575.33, 418,028.99 and 101,096.17 is: 151,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,575.33 : 418,028.99 = 101,096.17 : x
  2. Step 2: Convert to fraction form
    278,575.33/418,028.99 = 101,096.17/x
  3. Step 3: Cross multiply
    278,575.33x = 418,028.99 × 101,096.17
  4. Step 4: Simplify right side
    278,575.33x = 42,261,129,837.97
  5. Step 5: Solve for x
    x = 42,261,129,837.97/278,575.33
  6. Step 6: Final answer
    x = 151,704.50

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Why These Related Problems?

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