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Finding the Fourth Proportional to 274,991.13, 413,118.23 and 194,124.11

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Solution

The fourth proportional to 274,991.13, 413,118.23 and 194,124.11 is: 291,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,991.13 : 413,118.23 = 194,124.11 : x
  2. Step 2: Convert to fraction form
    274,991.13/413,118.23 = 194,124.11/x
  3. Step 3: Cross multiply
    274,991.13x = 413,118.23 × 194,124.11
  4. Step 4: Simplify right side
    274,991.13x = 80,196,206,415.28
  5. Step 5: Solve for x
    x = 80,196,206,415.28/274,991.13
  6. Step 6: Final answer
    x = 291,631.98

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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.