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Finding the Fourth Proportional to 206,838.68, 285,437.22 and 117,414.68

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Solution

The fourth proportional to 206,838.68, 285,437.22 and 117,414.68 is: 162,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.68 : 285,437.22 = 117,414.68 : x
  2. Step 2: Convert to fraction form
    206,838.68/285,437.22 = 117,414.68/x
  3. Step 3: Cross multiply
    206,838.68x = 285,437.22 × 117,414.68
  4. Step 4: Simplify right side
    206,838.68x = 33,514,519,846.39
  5. Step 5: Solve for x
    x = 33,514,519,846.39/206,838.68
  6. Step 6: Final answer
    x = 162,032.17

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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.