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Finding the Fourth Proportional to 149,341.32, 206,078.58 and 85,665.60

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Solution

The fourth proportional to 149,341.32, 206,078.58 and 85,665.60 is: 118,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,341.32 : 206,078.58 = 85,665.60 : x
  2. Step 2: Convert to fraction form
    149,341.32/206,078.58 = 85,665.60/x
  3. Step 3: Cross multiply
    149,341.32x = 206,078.58 × 85,665.60
  4. Step 4: Simplify right side
    149,341.32x = 17,653,845,202.85
  5. Step 5: Solve for x
    x = 17,653,845,202.85/149,341.32
  6. Step 6: Final answer
    x = 118,211.39

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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.