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Finding the Fourth Proportional to 223,537.88, 309,294.59 and 194,917.22

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Solution

The fourth proportional to 223,537.88, 309,294.59 and 194,917.22 is: 269,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,537.88 : 309,294.59 = 194,917.22 : x
  2. Step 2: Convert to fraction form
    223,537.88/309,294.59 = 194,917.22/x
  3. Step 3: Cross multiply
    223,537.88x = 309,294.59 × 194,917.22
  4. Step 4: Simplify right side
    223,537.88x = 60,286,841,643.84
  5. Step 5: Solve for x
    x = 60,286,841,643.84/223,537.88
  6. Step 6: Final answer
    x = 269,694.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.