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Finding the Fourth Proportional to 149,602.15, 206,486.40 and 85,976.83

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Solution

The fourth proportional to 149,602.15, 206,486.40 and 85,976.83 is: 118,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602.15 : 206,486.40 = 85,976.83 : x
  2. Step 2: Convert to fraction form
    149,602.15/206,486.40 = 85,976.83/x
  3. Step 3: Cross multiply
    149,602.15x = 206,486.40 × 85,976.83
  4. Step 4: Simplify right side
    149,602.15x = 17,753,046,110.11
  5. Step 5: Solve for x
    x = 17,753,046,110.11/149,602.15
  6. Step 6: Final answer
    x = 118,668.39

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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.