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Finding the Fourth Proportional to 208,243.92, 312,363.08 and 50,473.74

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Solution

The fourth proportional to 208,243.92, 312,363.08 and 50,473.74 is: 75,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,243.92 : 312,363.08 = 50,473.74 : x
  2. Step 2: Convert to fraction form
    208,243.92/312,363.08 = 50,473.74/x
  3. Step 3: Cross multiply
    208,243.92x = 312,363.08 × 50,473.74
  4. Step 4: Simplify right side
    208,243.92x = 15,766,132,885.52
  5. Step 5: Solve for x
    x = 15,766,132,885.52/208,243.92
  6. Step 6: Final answer
    x = 75,709.93

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1.5x scale

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.