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Finding the Fourth Proportional to 227,223.90, 340,832.65 and 102,564.70

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Solution

The fourth proportional to 227,223.90, 340,832.65 and 102,564.70 is: 153,845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,223.90 : 340,832.65 = 102,564.70 : x
  2. Step 2: Convert to fraction form
    227,223.90/340,832.65 = 102,564.70/x
  3. Step 3: Cross multiply
    227,223.90x = 340,832.65 × 102,564.70
  4. Step 4: Simplify right side
    227,223.90x = 34,957,398,497.46
  5. Step 5: Solve for x
    x = 34,957,398,497.46/227,223.90
  6. Step 6: Final answer
    x = 153,845.61

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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.