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Finding the Fourth Proportional to 227,094.81, 340,708.82 and 67,174.98

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Solution

The fourth proportional to 227,094.81, 340,708.82 and 67,174.98 is: 100,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,094.81 : 340,708.82 = 67,174.98 : x
  2. Step 2: Convert to fraction form
    227,094.81/340,708.82 = 67,174.98/x
  3. Step 3: Cross multiply
    227,094.81x = 340,708.82 × 67,174.98
  4. Step 4: Simplify right side
    227,094.81x = 22,887,108,169.32
  5. Step 5: Solve for x
    x = 22,887,108,169.32/227,094.81
  6. Step 6: Final answer
    x = 100,782.17

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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.