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Finding the Fourth Proportional to 337,884.38, 506,843.43 and 101,204.51

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Solution

The fourth proportional to 337,884.38, 506,843.43 and 101,204.51 is: 151,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,884.38 : 506,843.43 = 101,204.51 : x
  2. Step 2: Convert to fraction form
    337,884.38/506,843.43 = 101,204.51/x
  3. Step 3: Cross multiply
    337,884.38x = 506,843.43 × 101,204.51
  4. Step 4: Simplify right side
    337,884.38x = 51,294,840,979.87
  5. Step 5: Solve for x
    x = 51,294,840,979.87/337,884.38
  6. Step 6: Final answer
    x = 151,811.81

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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.