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Finding the Fourth Proportional to 200,771.59, 301,047.39 and 92,583.52

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Solution

The fourth proportional to 200,771.59, 301,047.39 and 92,583.52 is: 138,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,771.59 : 301,047.39 = 92,583.52 : x
  2. Step 2: Convert to fraction form
    200,771.59/301,047.39 = 92,583.52/x
  3. Step 3: Cross multiply
    200,771.59x = 301,047.39 × 92,583.52
  4. Step 4: Simplify right side
    200,771.59x = 27,872,027,053.01
  5. Step 5: Solve for x
    x = 27,872,027,053.01/200,771.59
  6. Step 6: Final answer
    x = 138,824.56

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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.