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Finding the Fourth Proportional to 201,469.30, 302,278.35 and 83,150.90

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Solution

The fourth proportional to 201,469.30, 302,278.35 and 83,150.90 is: 124,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,469.30 : 302,278.35 = 83,150.90 : x
  2. Step 2: Convert to fraction form
    201,469.30/302,278.35 = 83,150.90/x
  3. Step 3: Cross multiply
    201,469.30x = 302,278.35 × 83,150.90
  4. Step 4: Simplify right side
    201,469.30x = 25,134,716,853.02
  5. Step 5: Solve for x
    x = 25,134,716,853.02/201,469.30
  6. Step 6: Final answer
    x = 124,757.06

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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.