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Finding the Fourth Proportional to 208,974.80, 312,943.80 and 167,502.80

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Solution

The fourth proportional to 208,974.80, 312,943.80 and 167,502.80 is: 250,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,974.80 : 312,943.80 = 167,502.80 : x
  2. Step 2: Convert to fraction form
    208,974.80/312,943.80 = 167,502.80/x
  3. Step 3: Cross multiply
    208,974.80x = 312,943.80 × 167,502.80
  4. Step 4: Simplify right side
    208,974.80x = 52,418,962,742.64
  5. Step 5: Solve for x
    x = 52,418,962,742.64/208,974.80
  6. Step 6: Final answer
    x = 250,838.68

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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.