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Finding the Fourth Proportional to 342,909.11, 473,198.13 and 189,936.98

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Solution

The fourth proportional to 342,909.11, 473,198.13 and 189,936.98 is: 262,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,909.11 : 473,198.13 = 189,936.98 : x
  2. Step 2: Convert to fraction form
    342,909.11/473,198.13 = 189,936.98/x
  3. Step 3: Cross multiply
    342,909.11x = 473,198.13 × 189,936.98
  4. Step 4: Simplify right side
    342,909.11x = 89,877,823,753.85
  5. Step 5: Solve for x
    x = 89,877,823,753.85/342,909.11
  6. Step 6: Final answer
    x = 262,103.93

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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.