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Finding the Fourth Proportional to 208,103.28, 312,201 and 114,560.88

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Solution

The fourth proportional to 208,103.28, 312,201 and 114,560.88 is: 171,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,103.28 : 312,201 = 114,560.88 : x
  2. Step 2: Convert to fraction form
    208,103.28/312,201 = 114,560.88/x
  3. Step 3: Cross multiply
    208,103.28x = 312,201 × 114,560.88
  4. Step 4: Simplify right side
    208,103.28x = 35,766,021,296.88
  5. Step 5: Solve for x
    x = 35,766,021,296.88/208,103.28
  6. Step 6: Final answer
    x = 171,866.69

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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.