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Finding the Fourth Proportional to 224,652.72, 309,657.96 and 195,506.49

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Solution

The fourth proportional to 224,652.72, 309,657.96 and 195,506.49 is: 269,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,652.72 : 309,657.96 = 195,506.49 : x
  2. Step 2: Convert to fraction form
    224,652.72/309,657.96 = 195,506.49/x
  3. Step 3: Cross multiply
    224,652.72x = 309,657.96 × 195,506.49
  4. Step 4: Simplify right side
    224,652.72x = 60,540,140,860.16
  5. Step 5: Solve for x
    x = 60,540,140,860.16/224,652.72
  6. Step 6: Final answer
    x = 269,483.23

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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.