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Finding the Fourth Proportional to 233,206.70, 349,249.47 and 133,063.29

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Solution

The fourth proportional to 233,206.70, 349,249.47 and 133,063.29 is: 199,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,206.70 : 349,249.47 = 133,063.29 : x
  2. Step 2: Convert to fraction form
    233,206.70/349,249.47 = 133,063.29/x
  3. Step 3: Cross multiply
    233,206.70x = 349,249.47 × 133,063.29
  4. Step 4: Simplify right side
    233,206.70x = 46,472,283,009.97
  5. Step 5: Solve for x
    x = 46,472,283,009.97/233,206.70
  6. Step 6: Final answer
    x = 199,275.08

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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.