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Finding the Fourth Proportional to 199,633.59, 299,448.66 and 49,872.81

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Solution

The fourth proportional to 199,633.59, 299,448.66 and 49,872.81 is: 74,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.59 : 299,448.66 = 49,872.81 : x
  2. Step 2: Convert to fraction form
    199,633.59/299,448.66 = 49,872.81/x
  3. Step 3: Cross multiply
    199,633.59x = 299,448.66 × 49,872.81
  4. Step 4: Simplify right side
    199,633.59x = 14,934,346,124.93
  5. Step 5: Solve for x
    x = 14,934,346,124.93/199,633.59
  6. Step 6: Final answer
    x = 74,808.78

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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.