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Finding the Fourth Proportional to 234,197.29, 351,255.97 and 84,407.77

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Solution

The fourth proportional to 234,197.29, 351,255.97 and 84,407.77 is: 126,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,197.29 : 351,255.97 = 84,407.77 : x
  2. Step 2: Convert to fraction form
    234,197.29/351,255.97 = 84,407.77/x
  3. Step 3: Cross multiply
    234,197.29x = 351,255.97 × 84,407.77
  4. Step 4: Simplify right side
    234,197.29x = 29,648,733,126.89
  5. Step 5: Solve for x
    x = 29,648,733,126.89/234,197.29
  6. Step 6: Final answer
    x = 126,597.25

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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.