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Finding the Fourth Proportional to 208,952.40, 313,214.13 and 82,541.46

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Solution

The fourth proportional to 208,952.40, 313,214.13 and 82,541.46 is: 123,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,952.40 : 313,214.13 = 82,541.46 : x
  2. Step 2: Convert to fraction form
    208,952.40/313,214.13 = 82,541.46/x
  3. Step 3: Cross multiply
    208,952.40x = 313,214.13 × 82,541.46
  4. Step 4: Simplify right side
    208,952.40x = 25,853,151,582.83
  5. Step 5: Solve for x
    x = 25,853,151,582.83/208,952.40
  6. Step 6: Final answer
    x = 123,727.47

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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.