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Finding the Fourth Proportional to 227,904.60, 342,164.70 and 133,231.80

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Solution

The fourth proportional to 227,904.60, 342,164.70 and 133,231.80 is: 200,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,904.60 : 342,164.70 = 133,231.80 : x
  2. Step 2: Convert to fraction form
    227,904.60/342,164.70 = 133,231.80/x
  3. Step 3: Cross multiply
    227,904.60x = 342,164.70 × 133,231.80
  4. Step 4: Simplify right side
    227,904.60x = 45,587,218,877.46
  5. Step 5: Solve for x
    x = 45,587,218,877.46/227,904.60
  6. Step 6: Final answer
    x = 200,027.64

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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.