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Finding the Fourth Proportional to 201,652.88, 302,542.89 and 95,032.53

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Solution

The fourth proportional to 201,652.88, 302,542.89 and 95,032.53 is: 142,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,652.88 : 302,542.89 = 95,032.53 : x
  2. Step 2: Convert to fraction form
    201,652.88/302,542.89 = 95,032.53/x
  3. Step 3: Cross multiply
    201,652.88x = 302,542.89 × 95,032.53
  4. Step 4: Simplify right side
    201,652.88x = 28,751,416,270.21
  5. Step 5: Solve for x
    x = 28,751,416,270.21/201,652.88
  6. Step 6: Final answer
    x = 142,578.76

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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.