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Finding the Fourth Proportional to 208,276.34, 312,414.42 and 50,504.77

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Solution

The fourth proportional to 208,276.34, 312,414.42 and 50,504.77 is: 75,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,276.34 : 312,414.42 = 50,504.77 : x
  2. Step 2: Convert to fraction form
    208,276.34/312,414.42 = 50,504.77/x
  3. Step 3: Cross multiply
    208,276.34x = 312,414.42 × 50,504.77
  4. Step 4: Simplify right side
    208,276.34x = 15,778,416,864.71
  5. Step 5: Solve for x
    x = 15,778,416,864.71/208,276.34
  6. Step 6: Final answer
    x = 75,757.13

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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.