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Finding the Fourth Proportional to 149,300.38, 206,032.44 and 85,636.78

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Solution

The fourth proportional to 149,300.38, 206,032.44 and 85,636.78 is: 118,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.38 : 206,032.44 = 85,636.78 : x
  2. Step 2: Convert to fraction form
    149,300.38/206,032.44 = 85,636.78/x
  3. Step 3: Cross multiply
    149,300.38x = 206,032.44 × 85,636.78
  4. Step 4: Simplify right side
    149,300.38x = 17,643,954,737.14
  5. Step 5: Solve for x
    x = 17,643,954,737.14/149,300.38
  6. Step 6: Final answer
    x = 118,177.56

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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.