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Finding the Fourth Proportional to 226,449.32, 339,681.54 and 101,790.68

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Solution

The fourth proportional to 226,449.32, 339,681.54 and 101,790.68 is: 152,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,449.32 : 339,681.54 = 101,790.68 : x
  2. Step 2: Convert to fraction form
    226,449.32/339,681.54 = 101,790.68/x
  3. Step 3: Cross multiply
    226,449.32x = 339,681.54 × 101,790.68
  4. Step 4: Simplify right side
    226,449.32x = 34,576,414,940.05
  5. Step 5: Solve for x
    x = 34,576,414,940.05/226,449.32
  6. Step 6: Final answer
    x = 152,689.42

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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.