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Finding the Fourth Proportional to 227,358.87, 340,944.47 and 77,611.23

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Solution

The fourth proportional to 227,358.87, 340,944.47 and 77,611.23 is: 116,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,358.87 : 340,944.47 = 77,611.23 : x
  2. Step 2: Convert to fraction form
    227,358.87/340,944.47 = 77,611.23/x
  3. Step 3: Cross multiply
    227,358.87x = 340,944.47 × 77,611.23
  4. Step 4: Simplify right side
    227,358.87x = 26,461,120,530.76
  5. Step 5: Solve for x
    x = 26,461,120,530.76/227,358.87
  6. Step 6: Final answer
    x = 116,384.82

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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.