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Finding the Fourth Proportional to 227,651.85, 341,364.78 and 77,849.64

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Solution

The fourth proportional to 227,651.85, 341,364.78 and 77,849.64 is: 116,735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,651.85 : 341,364.78 = 77,849.64 : x
  2. Step 2: Convert to fraction form
    227,651.85/341,364.78 = 77,849.64/x
  3. Step 3: Cross multiply
    227,651.85x = 341,364.78 × 77,849.64
  4. Step 4: Simplify right side
    227,651.85x = 26,575,125,231.68
  5. Step 5: Solve for x
    x = 26,575,125,231.68/227,651.85
  6. Step 6: Final answer
    x = 116,735.82

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1.5x scale

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.