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Finding the Fourth Proportional to 227,331.74, 340,997.54 and 77,572.01

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Solution

The fourth proportional to 227,331.74, 340,997.54 and 77,572.01 is: 116,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,331.74 : 340,997.54 = 77,572.01 : x
  2. Step 2: Convert to fraction form
    227,331.74/340,997.54 = 77,572.01/x
  3. Step 3: Cross multiply
    227,331.74x = 340,997.54 × 77,572.01
  4. Step 4: Simplify right side
    227,331.74x = 26,451,864,582.86
  5. Step 5: Solve for x
    x = 26,451,864,582.86/227,331.74
  6. Step 6: Final answer
    x = 116,357.99

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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.