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Finding the Fourth Proportional to 221,950.68, 333,009.86 and 133,266.03

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Solution

The fourth proportional to 221,950.68, 333,009.86 and 133,266.03 is: 199,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,950.68 : 333,009.86 = 133,266.03 : x
  2. Step 2: Convert to fraction form
    221,950.68/333,009.86 = 133,266.03/x
  3. Step 3: Cross multiply
    221,950.68x = 333,009.86 × 133,266.03
  4. Step 4: Simplify right side
    221,950.68x = 44,378,901,326.73
  5. Step 5: Solve for x
    x = 44,378,901,326.73/221,950.68
  6. Step 6: Final answer
    x = 199,949.38

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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.