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Finding the Fourth Proportional to 208,641.78, 312,884.10 and 75,489.12

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Solution

The fourth proportional to 208,641.78, 312,884.10 and 75,489.12 is: 113,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,641.78 : 312,884.10 = 75,489.12 : x
  2. Step 2: Convert to fraction form
    208,641.78/312,884.10 = 75,489.12/x
  3. Step 3: Cross multiply
    208,641.78x = 312,884.10 × 75,489.12
  4. Step 4: Simplify right side
    208,641.78x = 23,619,345,370.99
  5. Step 5: Solve for x
    x = 23,619,345,370.99/208,641.78
  6. Step 6: Final answer
    x = 113,205.25

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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.