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Finding the Fourth Proportional to 134,794.86, 202,218.20 and 51,682.38

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Solution

The fourth proportional to 134,794.86, 202,218.20 and 51,682.38 is: 77,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,794.86 : 202,218.20 = 51,682.38 : x
  2. Step 2: Convert to fraction form
    134,794.86/202,218.20 = 51,682.38/x
  3. Step 3: Cross multiply
    134,794.86x = 202,218.20 × 51,682.38
  4. Step 4: Simplify right side
    134,794.86x = 10,451,117,855.32
  5. Step 5: Solve for x
    x = 10,451,117,855.32/134,794.86
  6. Step 6: Final answer
    x = 77,533.50

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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.