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Finding the Fourth Proportional to 262,174.11, 393,655.02 and 149,981.01

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Solution

The fourth proportional to 262,174.11, 393,655.02 and 149,981.01 is: 225,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,174.11 : 393,655.02 = 149,981.01 : x
  2. Step 2: Convert to fraction form
    262,174.11/393,655.02 = 149,981.01/x
  3. Step 3: Cross multiply
    262,174.11x = 393,655.02 × 149,981.01
  4. Step 4: Simplify right side
    262,174.11x = 59,040,777,491.17
  5. Step 5: Solve for x
    x = 59,040,777,491.17/262,174.11
  6. Step 6: Final answer
    x = 225,196.83

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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.