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Finding the Fourth Proportional to 313,092.14, 469,693.99 and 99,906.82

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Solution

The fourth proportional to 313,092.14, 469,693.99 and 99,906.82 is: 149,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,092.14 : 469,693.99 = 99,906.82 : x
  2. Step 2: Convert to fraction form
    313,092.14/469,693.99 = 99,906.82/x
  3. Step 3: Cross multiply
    313,092.14x = 469,693.99 × 99,906.82
  4. Step 4: Simplify right side
    313,092.14x = 46,925,631,864.66
  5. Step 5: Solve for x
    x = 46,925,631,864.66/313,092.14
  6. Step 6: Final answer
    x = 149,878.03

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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.