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Finding the Fourth Proportional to 234,747, 323,967.60 and 132,773.40

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Solution

The fourth proportional to 234,747, 323,967.60 and 132,773.40 is: 183,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,747 : 323,967.60 = 132,773.40 : x
  2. Step 2: Convert to fraction form
    234,747/323,967.60 = 132,773.40/x
  3. Step 3: Cross multiply
    234,747x = 323,967.60 × 132,773.40
  4. Step 4: Simplify right side
    234,747x = 43,014,279,741.84
  5. Step 5: Solve for x
    x = 43,014,279,741.84/234,747
  6. Step 6: Final answer
    x = 183,236.76

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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.