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Finding the Fourth Proportional to 227,105.33, 340,710.71 and 77,346.92

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Solution

The fourth proportional to 227,105.33, 340,710.71 and 77,346.92 is: 116,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,105.33 : 340,710.71 = 77,346.92 : x
  2. Step 2: Convert to fraction form
    227,105.33/340,710.71 = 77,346.92/x
  3. Step 3: Cross multiply
    227,105.33x = 340,710.71 × 77,346.92
  4. Step 4: Simplify right side
    227,105.33x = 26,352,921,939.23
  5. Step 5: Solve for x
    x = 26,352,921,939.23/227,105.33
  6. Step 6: Final answer
    x = 116,038.33

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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.