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Finding the Fourth Proportional to 202,463.89, 303,696.92 and 132,784.45

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Solution

The fourth proportional to 202,463.89, 303,696.92 and 132,784.45 is: 199,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,463.89 : 303,696.92 = 132,784.45 : x
  2. Step 2: Convert to fraction form
    202,463.89/303,696.92 = 132,784.45/x
  3. Step 3: Cross multiply
    202,463.89x = 303,696.92 × 132,784.45
  4. Step 4: Simplify right side
    202,463.89x = 40,326,227,824.97
  5. Step 5: Solve for x
    x = 40,326,227,824.97/202,463.89
  6. Step 6: Final answer
    x = 199,177.38

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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.