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Finding the Fourth Proportional to 134,684.91, 202,026.03 and 51,578.91

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Solution

The fourth proportional to 134,684.91, 202,026.03 and 51,578.91 is: 77,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,684.91 : 202,026.03 = 51,578.91 : x
  2. Step 2: Convert to fraction form
    134,684.91/202,026.03 = 51,578.91/x
  3. Step 3: Cross multiply
    134,684.91x = 202,026.03 × 51,578.91
  4. Step 4: Simplify right side
    134,684.91x = 10,420,282,419.03
  5. Step 5: Solve for x
    x = 10,420,282,419.03/134,684.91
  6. Step 6: Final answer
    x = 77,367.85

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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.