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Finding the Fourth Proportional to 227,546.67, 313,881.84 and 145,845.81

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Solution

The fourth proportional to 227,546.67, 313,881.84 and 145,845.81 is: 201,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,546.67 : 313,881.84 = 145,845.81 : x
  2. Step 2: Convert to fraction form
    227,546.67/313,881.84 = 145,845.81/x
  3. Step 3: Cross multiply
    227,546.67x = 313,881.84 × 145,845.81
  4. Step 4: Simplify right side
    227,546.67x = 45,778,351,199.09
  5. Step 5: Solve for x
    x = 45,778,351,199.09/227,546.67
  6. Step 6: Final answer
    x = 201,182.25

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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.