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Finding the Fourth Proportional to 201,819.66, 278,496.75 and 120,143.58

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Solution

The fourth proportional to 201,819.66, 278,496.75 and 120,143.58 is: 165,789.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,819.66 : 278,496.75 = 120,143.58 : x
  2. Step 2: Convert to fraction form
    201,819.66/278,496.75 = 120,143.58/x
  3. Step 3: Cross multiply
    201,819.66x = 278,496.75 × 120,143.58
  4. Step 4: Simplify right side
    201,819.66x = 33,459,596,563.37
  5. Step 5: Solve for x
    x = 33,459,596,563.37/201,819.66
  6. Step 6: Final answer
    x = 165,789.58

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