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Finding the Fourth Proportional to 199,530.56, 299,295.86 and 133,100.43

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Solution

The fourth proportional to 199,530.56, 299,295.86 and 133,100.43 is: 199,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,530.56 : 299,295.86 = 133,100.43 : x
  2. Step 2: Convert to fraction form
    199,530.56/299,295.86 = 133,100.43/x
  3. Step 3: Cross multiply
    199,530.56x = 299,295.86 × 133,100.43
  4. Step 4: Simplify right side
    199,530.56x = 39,836,406,997.72
  5. Step 5: Solve for x
    x = 39,836,406,997.72/199,530.56
  6. Step 6: Final answer
    x = 199,650.66

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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.