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Finding the Fourth Proportional to 208,064.70, 312,097.14 and 50,293.14

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Solution

The fourth proportional to 208,064.70, 312,097.14 and 50,293.14 is: 75,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,064.70 : 312,097.14 = 50,293.14 : x
  2. Step 2: Convert to fraction form
    208,064.70/312,097.14 = 50,293.14/x
  3. Step 3: Cross multiply
    208,064.70x = 312,097.14 × 50,293.14
  4. Step 4: Simplify right side
    208,064.70x = 15,696,345,155.62
  5. Step 5: Solve for x
    x = 15,696,345,155.62/208,064.70
  6. Step 6: Final answer
    x = 75,439.73

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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.