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Finding the Fourth Proportional to 227,041.92, 340,562.88 and 77,297.76

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Solution

The fourth proportional to 227,041.92, 340,562.88 and 77,297.76 is: 115,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,041.92 : 340,562.88 = 77,297.76 : x
  2. Step 2: Convert to fraction form
    227,041.92/340,562.88 = 77,297.76/x
  3. Step 3: Cross multiply
    227,041.92x = 340,562.88 × 77,297.76
  4. Step 4: Simplify right side
    227,041.92x = 26,324,747,763.15
  5. Step 5: Solve for x
    x = 26,324,747,763.15/227,041.92
  6. Step 6: Final answer
    x = 115,946.64

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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.