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Finding the Fourth Proportional to 206,653.57, 285,181.82 and 116,009.71

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Solution

The fourth proportional to 206,653.57, 285,181.82 and 116,009.71 is: 160,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,653.57 : 285,181.82 = 116,009.71 : x
  2. Step 2: Convert to fraction form
    206,653.57/285,181.82 = 116,009.71/x
  3. Step 3: Cross multiply
    206,653.57x = 285,181.82 × 116,009.71
  4. Step 4: Simplify right side
    206,653.57x = 33,083,859,655.42
  5. Step 5: Solve for x
    x = 33,083,859,655.42/206,653.57
  6. Step 6: Final answer
    x = 160,093.34

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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.