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Finding the Fourth Proportional to 134,677, 202,044.66 and 51,571

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Solution

The fourth proportional to 134,677, 202,044.66 and 51,571 is: 77,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,677 : 202,044.66 = 51,571 : x
  2. Step 2: Convert to fraction form
    134,677/202,044.66 = 51,571/x
  3. Step 3: Cross multiply
    134,677x = 202,044.66 × 51,571
  4. Step 4: Simplify right side
    134,677x = 10,419,645,160.86
  5. Step 5: Solve for x
    x = 10,419,645,160.86/134,677
  6. Step 6: Final answer
    x = 77,367.67

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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.