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Finding the Fourth Proportional to 233,293.17, 349,379.26 and 133,149.78

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Solution

The fourth proportional to 233,293.17, 349,379.26 and 133,149.78 is: 199,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,293.17 : 349,379.26 = 133,149.78 : x
  2. Step 2: Convert to fraction form
    233,293.17/349,379.26 = 133,149.78/x
  3. Step 3: Cross multiply
    233,293.17x = 349,379.26 × 133,149.78
  4. Step 4: Simplify right side
    233,293.17x = 46,519,771,605.56
  5. Step 5: Solve for x
    x = 46,519,771,605.56/233,293.17
  6. Step 6: Final answer
    x = 199,404.77

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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.