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Finding the Fourth Proportional to 233,006.76, 349,860.06 and 133,279.56

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Solution

The fourth proportional to 233,006.76, 349,860.06 and 133,279.56 is: 200,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,006.76 : 349,860.06 = 133,279.56 : x
  2. Step 2: Convert to fraction form
    233,006.76/349,860.06 = 133,279.56/x
  3. Step 3: Cross multiply
    233,006.76x = 349,860.06 × 133,279.56
  4. Step 4: Simplify right side
    233,006.76x = 46,629,194,858.37
  5. Step 5: Solve for x
    x = 46,629,194,858.37/233,006.76
  6. Step 6: Final answer
    x = 200,119.49

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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.