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Finding the Fourth Proportional to 227,757.87, 314,305.86 and 132,270.72

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Solution

The fourth proportional to 227,757.87, 314,305.86 and 132,270.72 is: 182,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,757.87 : 314,305.86 = 132,270.72 : x
  2. Step 2: Convert to fraction form
    227,757.87/314,305.86 = 132,270.72/x
  3. Step 3: Cross multiply
    227,757.87x = 314,305.86 × 132,270.72
  4. Step 4: Simplify right side
    227,757.87x = 41,573,461,177.12
  5. Step 5: Solve for x
    x = 41,573,461,177.12/227,757.87
  6. Step 6: Final answer
    x = 182,533.59

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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.