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Finding the Fourth Proportional to 339,142.48, 468,022.46 and 186,194.84

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Solution

The fourth proportional to 339,142.48, 468,022.46 and 186,194.84 is: 256,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,142.48 : 468,022.46 = 186,194.84 : x
  2. Step 2: Convert to fraction form
    339,142.48/468,022.46 = 186,194.84/x
  3. Step 3: Cross multiply
    339,142.48x = 468,022.46 × 186,194.84
  4. Step 4: Simplify right side
    339,142.48x = 87,143,363,785.02
  5. Step 5: Solve for x
    x = 87,143,363,785.02/339,142.48
  6. Step 6: Final answer
    x = 256,952.08

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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.