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Finding the Fourth Proportional to 199,633.82, 299,465.10 and 62,845.20

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Solution

The fourth proportional to 199,633.82, 299,465.10 and 62,845.20 is: 94,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.82 : 299,465.10 = 62,845.20 : x
  2. Step 2: Convert to fraction form
    199,633.82/299,465.10 = 62,845.20/x
  3. Step 3: Cross multiply
    199,633.82x = 299,465.10 × 62,845.20
  4. Step 4: Simplify right side
    199,633.82x = 18,819,944,102.52
  5. Step 5: Solve for x
    x = 18,819,944,102.52/199,633.82
  6. Step 6: Final answer
    x = 94,272.33

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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.