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Finding the Fourth Proportional to 206,587, 285,090.06 and 117,163

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Solution

The fourth proportional to 206,587, 285,090.06 and 117,163 is: 161,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,587 : 285,090.06 = 117,163 : x
  2. Step 2: Convert to fraction form
    206,587/285,090.06 = 117,163/x
  3. Step 3: Cross multiply
    206,587x = 285,090.06 × 117,163
  4. Step 4: Simplify right side
    206,587x = 33,402,006,699.78
  5. Step 5: Solve for x
    x = 33,402,006,699.78/206,587
  6. Step 6: Final answer
    x = 161,684.94

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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.