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Finding the Fourth Proportional to 227,711.10, 341,566.65 and 109,353.90

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Solution

The fourth proportional to 227,711.10, 341,566.65 and 109,353.90 is: 164,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,711.10 : 341,566.65 = 109,353.90 : x
  2. Step 2: Convert to fraction form
    227,711.10/341,566.65 = 109,353.90/x
  3. Step 3: Cross multiply
    227,711.10x = 341,566.65 × 109,353.90
  4. Step 4: Simplify right side
    227,711.10x = 37,351,645,287.44
  5. Step 5: Solve for x
    x = 37,351,645,287.44/227,711.10
  6. Step 6: Final answer
    x = 164,030.85

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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.