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Finding the Fourth Proportional to 267,843.87, 401,721.93 and 99,324.63

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Solution

The fourth proportional to 267,843.87, 401,721.93 and 99,324.63 is: 148,970.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,843.87 : 401,721.93 = 99,324.63 : x
  2. Step 2: Convert to fraction form
    267,843.87/401,721.93 = 99,324.63/x
  3. Step 3: Cross multiply
    267,843.87x = 401,721.93 × 99,324.63
  4. Step 4: Simplify right side
    267,843.87x = 39,900,882,060.14
  5. Step 5: Solve for x
    x = 39,900,882,060.14/267,843.87
  6. Step 6: Final answer
    x = 148,970.67

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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.