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Finding the Fourth Proportional to 226,395, 312,435.36 and 125,793

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Solution

The fourth proportional to 226,395, 312,435.36 and 125,793 is: 173,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,395 : 312,435.36 = 125,793 : x
  2. Step 2: Convert to fraction form
    226,395/312,435.36 = 125,793/x
  3. Step 3: Cross multiply
    226,395x = 312,435.36 × 125,793
  4. Step 4: Simplify right side
    226,395x = 39,302,181,240.48
  5. Step 5: Solve for x
    x = 39,302,181,240.48/226,395
  6. Step 6: Final answer
    x = 173,600.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.