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Finding the Fourth Proportional to 234,156, 323,135.20 and 126,726

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Solution

The fourth proportional to 234,156, 323,135.20 and 126,726 is: 174,881.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,156 : 323,135.20 = 126,726 : x
  2. Step 2: Convert to fraction form
    234,156/323,135.20 = 126,726/x
  3. Step 3: Cross multiply
    234,156x = 323,135.20 × 126,726
  4. Step 4: Simplify right side
    234,156x = 40,949,631,355.20
  5. Step 5: Solve for x
    x = 40,949,631,355.20/234,156
  6. Step 6: Final answer
    x = 174,881.84

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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.