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Finding the Fourth Proportional to 224,083.60, 335,830.20 and 164,640.40

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Solution

The fourth proportional to 224,083.60, 335,830.20 and 164,640.40 is: 246,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,083.60 : 335,830.20 = 164,640.40 : x
  2. Step 2: Convert to fraction form
    224,083.60/335,830.20 = 164,640.40/x
  3. Step 3: Cross multiply
    224,083.60x = 335,830.20 × 164,640.40
  4. Step 4: Simplify right side
    224,083.60x = 55,291,218,460.08
  5. Step 5: Solve for x
    x = 55,291,218,460.08/224,083.60
  6. Step 6: Final answer
    x = 246,743.71

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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.