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Finding the Fourth Proportional to 226,164.48, 312,101.28 and 125,556

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Solution

The fourth proportional to 226,164.48, 312,101.28 and 125,556 is: 173,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,164.48 : 312,101.28 = 125,556 : x
  2. Step 2: Convert to fraction form
    226,164.48/312,101.28 = 125,556/x
  3. Step 3: Cross multiply
    226,164.48x = 312,101.28 × 125,556
  4. Step 4: Simplify right side
    226,164.48x = 39,186,188,311.68
  5. Step 5: Solve for x
    x = 39,186,188,311.68/226,164.48
  6. Step 6: Final answer
    x = 173,264.11

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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.