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Finding the Fourth Proportional to 274,931.22, 412,396.51 and 75,253.26

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Solution

The fourth proportional to 274,931.22, 412,396.51 and 75,253.26 is: 112,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,931.22 : 412,396.51 = 75,253.26 : x
  2. Step 2: Convert to fraction form
    274,931.22/412,396.51 = 75,253.26/x
  3. Step 3: Cross multiply
    274,931.22x = 412,396.51 × 75,253.26
  4. Step 4: Simplify right side
    274,931.22x = 31,034,181,790.12
  5. Step 5: Solve for x
    x = 31,034,181,790.12/274,931.22
  6. Step 6: Final answer
    x = 112,879.80

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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.