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Finding the Fourth Proportional to 227,813.70, 341,720.55 and 127,977.15

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Solution

The fourth proportional to 227,813.70, 341,720.55 and 127,977.15 is: 191,965.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,813.70 : 341,720.55 = 127,977.15 : x
  2. Step 2: Convert to fraction form
    227,813.70/341,720.55 = 127,977.15/x
  3. Step 3: Cross multiply
    227,813.70x = 341,720.55 × 127,977.15
  4. Step 4: Simplify right side
    227,813.70x = 43,732,422,085.43
  5. Step 5: Solve for x
    x = 43,732,422,085.43/227,813.70
  6. Step 6: Final answer
    x = 191,965.73

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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.