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Finding the Fourth Proportional to 206,710.26, 285,256.53 and 116,066.94

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Solution

The fourth proportional to 206,710.26, 285,256.53 and 116,066.94 is: 160,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,710.26 : 285,256.53 = 116,066.94 : x
  2. Step 2: Convert to fraction form
    206,710.26/285,256.53 = 116,066.94/x
  3. Step 3: Cross multiply
    206,710.26x = 285,256.53 × 116,066.94
  4. Step 4: Simplify right side
    206,710.26x = 33,108,852,552.12
  5. Step 5: Solve for x
    x = 33,108,852,552.12/206,710.26
  6. Step 6: Final answer
    x = 160,170.34

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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.