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Finding the Fourth Proportional to 227,934.72, 341,940.96 and 101,620.80

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Solution

The fourth proportional to 227,934.72, 341,940.96 and 101,620.80 is: 152,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,934.72 : 341,940.96 = 101,620.80 : x
  2. Step 2: Convert to fraction form
    227,934.72/341,940.96 = 101,620.80/x
  3. Step 3: Cross multiply
    227,934.72x = 341,940.96 × 101,620.80
  4. Step 4: Simplify right side
    227,934.72x = 34,748,313,907.97
  5. Step 5: Solve for x
    x = 34,748,313,907.97/227,934.72
  6. Step 6: Final answer
    x = 152,448.53

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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.