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Finding the Fourth Proportional to 222,667, 333,256.80 and 132,416.80

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Solution

The fourth proportional to 222,667, 333,256.80 and 132,416.80 is: 198,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,667 : 333,256.80 = 132,416.80 : x
  2. Step 2: Convert to fraction form
    222,667/333,256.80 = 132,416.80/x
  3. Step 3: Cross multiply
    222,667x = 333,256.80 × 132,416.80
  4. Step 4: Simplify right side
    222,667x = 44,128,799,034.24
  5. Step 5: Solve for x
    x = 44,128,799,034.24/222,667
  6. Step 6: Final answer
    x = 198,182.93

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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.