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Finding the Fourth Proportional to 224,814.24, 310,234.05 and 122,838.09

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Solution

The fourth proportional to 224,814.24, 310,234.05 and 122,838.09 is: 169,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,814.24 : 310,234.05 = 122,838.09 : x
  2. Step 2: Convert to fraction form
    224,814.24/310,234.05 = 122,838.09/x
  3. Step 3: Cross multiply
    224,814.24x = 310,234.05 × 122,838.09
  4. Step 4: Simplify right side
    224,814.24x = 38,108,558,154.96
  5. Step 5: Solve for x
    x = 38,108,558,154.96/224,814.24
  6. Step 6: Final answer
    x = 169,511.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.