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Finding the Fourth Proportional to 223,831.44, 308,909.16 and 167,144.40

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Solution

The fourth proportional to 223,831.44, 308,909.16 and 167,144.40 is: 230,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,831.44 : 308,909.16 = 167,144.40 : x
  2. Step 2: Convert to fraction form
    223,831.44/308,909.16 = 167,144.40/x
  3. Step 3: Cross multiply
    223,831.44x = 308,909.16 × 167,144.40
  4. Step 4: Simplify right side
    223,831.44x = 51,632,436,202.70
  5. Step 5: Solve for x
    x = 51,632,436,202.70/223,831.44
  6. Step 6: Final answer
    x = 230,675.53

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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.