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Finding the Fourth Proportional to 201,908.60, 302,862.90 and 162,542.60

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Solution

The fourth proportional to 201,908.60, 302,862.90 and 162,542.60 is: 243,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.60 : 302,862.90 = 162,542.60 : x
  2. Step 2: Convert to fraction form
    201,908.60/302,862.90 = 162,542.60/x
  3. Step 3: Cross multiply
    201,908.60x = 302,862.90 × 162,542.60
  4. Step 4: Simplify right side
    201,908.60x = 49,228,123,209.54
  5. Step 5: Solve for x
    x = 49,228,123,209.54/201,908.60
  6. Step 6: Final answer
    x = 243,813.90

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Why These Related Problems?

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