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Finding the Fourth Proportional to 224,370, 309,636.41 and 122,397.14

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Solution

The fourth proportional to 224,370, 309,636.41 and 122,397.14 is: 168,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370 : 309,636.41 = 122,397.14 : x
  2. Step 2: Convert to fraction form
    224,370/309,636.41 = 122,397.14/x
  3. Step 3: Cross multiply
    224,370x = 309,636.41 × 122,397.14
  4. Step 4: Simplify right side
    224,370x = 37,898,611,185.97
  5. Step 5: Solve for x
    x = 37,898,611,185.97/224,370
  6. Step 6: Final answer
    x = 168,911.22

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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.