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Finding the Fourth Proportional to 201,699.70, 302,614.35 and 135,214.90

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Solution

The fourth proportional to 201,699.70, 302,614.35 and 135,214.90 is: 202,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.70 : 302,614.35 = 135,214.90 : x
  2. Step 2: Convert to fraction form
    201,699.70/302,614.35 = 135,214.90/x
  3. Step 3: Cross multiply
    201,699.70x = 302,614.35 × 135,214.90
  4. Step 4: Simplify right side
    201,699.70x = 40,917,969,073.82
  5. Step 5: Solve for x
    x = 40,917,969,073.82/201,699.70
  6. Step 6: Final answer
    x = 202,865.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.