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Finding the Fourth Proportional to 192,299, 265,200.24 and 160,140.11

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Solution

The fourth proportional to 192,299, 265,200.24 and 160,140.11 is: 220,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,299 : 265,200.24 = 160,140.11 : x
  2. Step 2: Convert to fraction form
    192,299/265,200.24 = 160,140.11/x
  3. Step 3: Cross multiply
    192,299x = 265,200.24 × 160,140.11
  4. Step 4: Simplify right side
    192,299x = 42,469,195,605.63
  5. Step 5: Solve for x
    x = 42,469,195,605.63/192,299
  6. Step 6: Final answer
    x = 220,849.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.