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Finding the Fourth Proportional to 201,771.70, 302,542.35 and 83,302.90

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Solution

The fourth proportional to 201,771.70, 302,542.35 and 83,302.90 is: 124,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771.70 : 302,542.35 = 83,302.90 : x
  2. Step 2: Convert to fraction form
    201,771.70/302,542.35 = 83,302.90/x
  3. Step 3: Cross multiply
    201,771.70x = 302,542.35 × 83,302.90
  4. Step 4: Simplify right side
    201,771.70x = 25,202,655,127.82
  5. Step 5: Solve for x
    x = 25,202,655,127.82/201,771.70
  6. Step 6: Final answer
    x = 124,906.79

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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.