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Finding the Fourth Proportional to 206,884.52, 285,500.88 and 117,460.52

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Solution

The fourth proportional to 206,884.52, 285,500.88 and 117,460.52 is: 162,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.52 : 285,500.88 = 117,460.52 : x
  2. Step 2: Convert to fraction form
    206,884.52/285,500.88 = 117,460.52/x
  3. Step 3: Cross multiply
    206,884.52x = 285,500.88 × 117,460.52
  4. Step 4: Simplify right side
    206,884.52x = 33,535,081,825.26
  5. Step 5: Solve for x
    x = 33,535,081,825.26/206,884.52
  6. Step 6: Final answer
    x = 162,095.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.