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Finding the Fourth Proportional to 234,785.82, 323,984.70 and 132,806.01

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Solution

The fourth proportional to 234,785.82, 323,984.70 and 132,806.01 is: 183,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,785.82 : 323,984.70 = 132,806.01 : x
  2. Step 2: Convert to fraction form
    234,785.82/323,984.70 = 132,806.01/x
  3. Step 3: Cross multiply
    234,785.82x = 323,984.70 × 132,806.01
  4. Step 4: Simplify right side
    234,785.82x = 43,027,115,308.05
  5. Step 5: Solve for x
    x = 43,027,115,308.05/234,785.82
  6. Step 6: Final answer
    x = 183,261.13

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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.