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Finding the Fourth Proportional to 206,707.92, 285,185.52 and 116,051.28

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Solution

The fourth proportional to 206,707.92, 285,185.52 and 116,051.28 is: 160,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,707.92 : 285,185.52 = 116,051.28 : x
  2. Step 2: Convert to fraction form
    206,707.92/285,185.52 = 116,051.28/x
  3. Step 3: Cross multiply
    206,707.92x = 285,185.52 × 116,051.28
  4. Step 4: Simplify right side
    206,707.92x = 33,096,144,633.47
  5. Step 5: Solve for x
    x = 33,096,144,633.47/206,707.92
  6. Step 6: Final answer
    x = 160,110.68

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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.