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Finding the Fourth Proportional to 227,358.29, 340,943.63 and 77,610.66

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Solution

The fourth proportional to 227,358.29, 340,943.63 and 77,610.66 is: 116,383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,358.29 : 340,943.63 = 77,610.66 : x
  2. Step 2: Convert to fraction form
    227,358.29/340,943.63 = 77,610.66/x
  3. Step 3: Cross multiply
    227,358.29x = 340,943.63 × 77,610.66
  4. Step 4: Simplify right side
    227,358.29x = 26,460,859,759.04
  5. Step 5: Solve for x
    x = 26,460,859,759.04/227,358.29
  6. Step 6: Final answer
    x = 116,383.97

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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.