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Finding the Fourth Proportional to 208,059.73, 312,089.61 and 50,288.14

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Solution

The fourth proportional to 208,059.73, 312,089.61 and 50,288.14 is: 75,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.73 : 312,089.61 = 50,288.14 : x
  2. Step 2: Convert to fraction form
    208,059.73/312,089.61 = 50,288.14/x
  3. Step 3: Cross multiply
    208,059.73x = 312,089.61 × 50,288.14
  4. Step 4: Simplify right side
    208,059.73x = 15,694,406,000.23
  5. Step 5: Solve for x
    x = 15,694,406,000.23/208,059.73
  6. Step 6: Final answer
    x = 75,432.21

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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.