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Finding the Fourth Proportional to 227,359.14, 340,944.87 and 77,611.50

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Solution

The fourth proportional to 227,359.14, 340,944.87 and 77,611.50 is: 116,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,359.14 : 340,944.87 = 77,611.50 : x
  2. Step 2: Convert to fraction form
    227,359.14/340,944.87 = 77,611.50/x
  3. Step 3: Cross multiply
    227,359.14x = 340,944.87 × 77,611.50
  4. Step 4: Simplify right side
    227,359.14x = 26,461,242,778.01
  5. Step 5: Solve for x
    x = 26,461,242,778.01/227,359.14
  6. Step 6: Final answer
    x = 116,385.22

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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.