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Finding the Fourth Proportional to 224,648.30, 309,487.79 and 156,541.68

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Solution

The fourth proportional to 224,648.30, 309,487.79 and 156,541.68 is: 215,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,648.30 : 309,487.79 = 156,541.68 : x
  2. Step 2: Convert to fraction form
    224,648.30/309,487.79 = 156,541.68/x
  3. Step 3: Cross multiply
    224,648.30x = 309,487.79 × 156,541.68
  4. Step 4: Simplify right side
    224,648.30x = 48,447,738,977.44
  5. Step 5: Solve for x
    x = 48,447,738,977.44/224,648.30
  6. Step 6: Final answer
    x = 215,660.38

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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.