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Finding the Fourth Proportional to 234,424, 323,503.82 and 126,996.13

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Solution

The fourth proportional to 234,424, 323,503.82 and 126,996.13 is: 175,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,424 : 323,503.82 = 126,996.13 : x
  2. Step 2: Convert to fraction form
    234,424/323,503.82 = 126,996.13/x
  3. Step 3: Cross multiply
    234,424x = 323,503.82 × 126,996.13
  4. Step 4: Simplify right side
    234,424x = 41,083,733,180.22
  5. Step 5: Solve for x
    x = 41,083,733,180.22/234,424
  6. Step 6: Final answer
    x = 175,253.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.