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Finding the Fourth Proportional to 202,893.39, 304,367.76 and 84,537

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Solution

The fourth proportional to 202,893.39, 304,367.76 and 84,537 is: 126,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,893.39 : 304,367.76 = 84,537 : x
  2. Step 2: Convert to fraction form
    202,893.39/304,367.76 = 84,537/x
  3. Step 3: Cross multiply
    202,893.39x = 304,367.76 × 84,537
  4. Step 4: Simplify right side
    202,893.39x = 25,730,337,327.12
  5. Step 5: Solve for x
    x = 25,730,337,327.12/202,893.39
  6. Step 6: Final answer
    x = 126,817.03

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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.