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Finding the Fourth Proportional to 213,865.50, 295,200.09 and 123,282.02

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Solution

The fourth proportional to 213,865.50, 295,200.09 and 123,282.02 is: 170,167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,865.50 : 295,200.09 = 123,282.02 : x
  2. Step 2: Convert to fraction form
    213,865.50/295,200.09 = 123,282.02/x
  3. Step 3: Cross multiply
    213,865.50x = 295,200.09 × 123,282.02
  4. Step 4: Simplify right side
    213,865.50x = 36,392,861,923.38
  5. Step 5: Solve for x
    x = 36,392,861,923.38/213,865.50
  6. Step 6: Final answer
    x = 170,167.05

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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.