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Finding the Fourth Proportional to 134,667, 202,029.66 and 51,561

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Solution

The fourth proportional to 134,667, 202,029.66 and 51,561 is: 77,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,667 : 202,029.66 = 51,561 : x
  2. Step 2: Convert to fraction form
    134,667/202,029.66 = 51,561/x
  3. Step 3: Cross multiply
    134,667x = 202,029.66 × 51,561
  4. Step 4: Simplify right side
    134,667x = 10,416,851,299.26
  5. Step 5: Solve for x
    x = 10,416,851,299.26/134,667
  6. Step 6: Final answer
    x = 77,352.66

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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.