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Finding the Fourth Proportional to 202,894.39, 304,369.26 and 84,538

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Solution

The fourth proportional to 202,894.39, 304,369.26 and 84,538 is: 126,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,894.39 : 304,369.26 = 84,538 : x
  2. Step 2: Convert to fraction form
    202,894.39/304,369.26 = 84,538/x
  3. Step 3: Cross multiply
    202,894.39x = 304,369.26 × 84,538
  4. Step 4: Simplify right side
    202,894.39x = 25,730,768,501.88
  5. Step 5: Solve for x
    x = 25,730,768,501.88/202,894.39
  6. Step 6: Final answer
    x = 126,818.53

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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.