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Finding the Fourth Proportional to 201,785.31, 302,572.86 and 75,321.54

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Solution

The fourth proportional to 201,785.31, 302,572.86 and 75,321.54 is: 112,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,785.31 : 302,572.86 = 75,321.54 : x
  2. Step 2: Convert to fraction form
    201,785.31/302,572.86 = 75,321.54/x
  3. Step 3: Cross multiply
    201,785.31x = 302,572.86 × 75,321.54
  4. Step 4: Simplify right side
    201,785.31x = 22,790,253,777.40
  5. Step 5: Solve for x
    x = 22,790,253,777.40/201,785.31
  6. Step 6: Final answer
    x = 112,943.08

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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.