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Finding the Fourth Proportional to 202,910.64, 304,168.08 and 84,615.84

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Solution

The fourth proportional to 202,910.64, 304,168.08 and 84,615.84 is: 126,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,910.64 : 304,168.08 = 84,615.84 : x
  2. Step 2: Convert to fraction form
    202,910.64/304,168.08 = 84,615.84/x
  3. Step 3: Cross multiply
    202,910.64x = 304,168.08 × 84,615.84
  4. Step 4: Simplify right side
    202,910.64x = 25,737,437,590.39
  5. Step 5: Solve for x
    x = 25,737,437,590.39/202,910.64
  6. Step 6: Final answer
    x = 126,841.24

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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.