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Finding the Fourth Proportional to 224,081.60, 335,827.20 and 164,638.40

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Solution

The fourth proportional to 224,081.60, 335,827.20 and 164,638.40 is: 246,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,081.60 : 335,827.20 = 164,638.40 : x
  2. Step 2: Convert to fraction form
    224,081.60/335,827.20 = 164,638.40/x
  3. Step 3: Cross multiply
    224,081.60x = 335,827.20 × 164,638.40
  4. Step 4: Simplify right side
    224,081.60x = 55,290,052,884.48
  5. Step 5: Solve for x
    x = 55,290,052,884.48/224,081.60
  6. Step 6: Final answer
    x = 246,740.71

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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.