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Finding the Fourth Proportional to 313,067.91, 469,678.29 and 99,835.82

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Solution

The fourth proportional to 313,067.91, 469,678.29 and 99,835.82 is: 149,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,067.91 : 469,678.29 = 99,835.82 : x
  2. Step 2: Convert to fraction form
    313,067.91/469,678.29 = 99,835.82/x
  3. Step 3: Cross multiply
    313,067.91x = 469,678.29 × 99,835.82
  4. Step 4: Simplify right side
    313,067.91x = 46,890,719,273.19
  5. Step 5: Solve for x
    x = 46,890,719,273.19/313,067.91
  6. Step 6: Final answer
    x = 149,778.11

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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.