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Finding the Fourth Proportional to 229,091.84, 343,555.38 and 79,291.40

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Solution

The fourth proportional to 229,091.84, 343,555.38 and 79,291.40 is: 118,908.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,091.84 : 343,555.38 = 79,291.40 : x
  2. Step 2: Convert to fraction form
    229,091.84/343,555.38 = 79,291.40/x
  3. Step 3: Cross multiply
    229,091.84x = 343,555.38 × 79,291.40
  4. Step 4: Simplify right side
    229,091.84x = 27,240,987,057.73
  5. Step 5: Solve for x
    x = 27,240,987,057.73/229,091.84
  6. Step 6: Final answer
    x = 118,908.59

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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.