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Finding the Fourth Proportional to 227,635.40, 341,453.10 and 77,825.90

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Solution

The fourth proportional to 227,635.40, 341,453.10 and 77,825.90 is: 116,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,635.40 : 341,453.10 = 77,825.90 : x
  2. Step 2: Convert to fraction form
    227,635.40/341,453.10 = 77,825.90/x
  3. Step 3: Cross multiply
    227,635.40x = 341,453.10 × 77,825.90
  4. Step 4: Simplify right side
    227,635.40x = 26,573,894,815.29
  5. Step 5: Solve for x
    x = 26,573,894,815.29/227,635.40
  6. Step 6: Final answer
    x = 116,738.85

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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.