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Finding the Fourth Proportional to 227,589.90, 341,384.85 and 156,731.10

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Solution

The fourth proportional to 227,589.90, 341,384.85 and 156,731.10 is: 235,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,589.90 : 341,384.85 = 156,731.10 : x
  2. Step 2: Convert to fraction form
    227,589.90/341,384.85 = 156,731.10/x
  3. Step 3: Cross multiply
    227,589.90x = 341,384.85 × 156,731.10
  4. Step 4: Simplify right side
    227,589.90x = 53,505,623,063.84
  5. Step 5: Solve for x
    x = 53,505,623,063.84/227,589.90
  6. Step 6: Final answer
    x = 235,096.65

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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.