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Finding the Fourth Proportional to 199,703.72, 299,472.30 and 81,294.68

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Solution

The fourth proportional to 199,703.72, 299,472.30 and 81,294.68 is: 121,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,703.72 : 299,472.30 = 81,294.68 : x
  2. Step 2: Convert to fraction form
    199,703.72/299,472.30 = 81,294.68/x
  3. Step 3: Cross multiply
    199,703.72x = 299,472.30 × 81,294.68
  4. Step 4: Simplify right side
    199,703.72x = 24,345,504,797.36
  5. Step 5: Solve for x
    x = 24,345,504,797.36/199,703.72
  6. Step 6: Final answer
    x = 121,908.12

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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.