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Finding the Fourth Proportional to 114,394.50, 171,428.22 and 50,275.80

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Solution

The fourth proportional to 114,394.50, 171,428.22 and 50,275.80 is: 75,341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,394.50 : 171,428.22 = 50,275.80 : x
  2. Step 2: Convert to fraction form
    114,394.50/171,428.22 = 50,275.80/x
  3. Step 3: Cross multiply
    114,394.50x = 171,428.22 × 50,275.80
  4. Step 4: Simplify right side
    114,394.50x = 8,618,690,903.08
  5. Step 5: Solve for x
    x = 8,618,690,903.08/114,394.50
  6. Step 6: Final answer
    x = 75,341.83

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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.