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Finding the Fourth Proportional to 123,151.26, 184,799.84 and 52,070.01

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Solution

The fourth proportional to 123,151.26, 184,799.84 and 52,070.01 is: 78,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,151.26 : 184,799.84 = 52,070.01 : x
  2. Step 2: Convert to fraction form
    123,151.26/184,799.84 = 52,070.01/x
  3. Step 3: Cross multiply
    123,151.26x = 184,799.84 × 52,070.01
  4. Step 4: Simplify right side
    123,151.26x = 9,622,529,516.80
  5. Step 5: Solve for x
    x = 9,622,529,516.80/123,151.26
  6. Step 6: Final answer
    x = 78,135.86

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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.