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Finding the Fourth Proportional to 224,007.57, 309,121.25 and 122,031

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Solution

The fourth proportional to 224,007.57, 309,121.25 and 122,031 is: 168,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,007.57 : 309,121.25 = 122,031 : x
  2. Step 2: Convert to fraction form
    224,007.57/309,121.25 = 122,031/x
  3. Step 3: Cross multiply
    224,007.57x = 309,121.25 × 122,031
  4. Step 4: Simplify right side
    224,007.57x = 37,722,374,648.60
  5. Step 5: Solve for x
    x = 37,722,374,648.60/224,007.57
  6. Step 6: Final answer
    x = 168,397.77

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