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Finding the Fourth Proportional to 136,573.78, 204,858.22 and 52,311.10

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Solution

The fourth proportional to 136,573.78, 204,858.22 and 52,311.10 is: 78,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,573.78 : 204,858.22 = 52,311.10 : x
  2. Step 2: Convert to fraction form
    136,573.78/204,858.22 = 52,311.10/x
  3. Step 3: Cross multiply
    136,573.78x = 204,858.22 × 52,311.10
  4. Step 4: Simplify right side
    136,573.78x = 10,716,358,832.24
  5. Step 5: Solve for x
    x = 10,716,358,832.24/136,573.78
  6. Step 6: Final answer
    x = 78,465.71

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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.