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Finding the Fourth Proportional to 134,591.86, 201,629.06 and 75,247.56

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Solution

The fourth proportional to 134,591.86, 201,629.06 and 75,247.56 is: 112,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,591.86 : 201,629.06 = 75,247.56 : x
  2. Step 2: Convert to fraction form
    134,591.86/201,629.06 = 75,247.56/x
  3. Step 3: Cross multiply
    134,591.86x = 201,629.06 × 75,247.56
  4. Step 4: Simplify right side
    134,591.86x = 15,172,094,790.09
  5. Step 5: Solve for x
    x = 15,172,094,790.09/134,591.86
  6. Step 6: Final answer
    x = 112,726.69

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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.