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Finding the Fourth Proportional to 149,608.49, 206,472.04 and 85,097.93

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Solution

The fourth proportional to 149,608.49, 206,472.04 and 85,097.93 is: 117,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,608.49 : 206,472.04 = 85,097.93 : x
  2. Step 2: Convert to fraction form
    149,608.49/206,472.04 = 85,097.93/x
  3. Step 3: Cross multiply
    149,608.49x = 206,472.04 × 85,097.93
  4. Step 4: Simplify right side
    149,608.49x = 17,570,341,961.77
  5. Step 5: Solve for x
    x = 17,570,341,961.77/149,608.49
  6. Step 6: Final answer
    x = 117,442.15

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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.