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Finding the Fourth Proportional to 148,591.62, 205,070.58 and 84,917.07

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Solution

The fourth proportional to 148,591.62, 205,070.58 and 84,917.07 is: 117,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,591.62 : 205,070.58 = 84,917.07 : x
  2. Step 2: Convert to fraction form
    148,591.62/205,070.58 = 84,917.07/x
  3. Step 3: Cross multiply
    148,591.62x = 205,070.58 × 84,917.07
  4. Step 4: Simplify right side
    148,591.62x = 17,413,992,796.80
  5. Step 5: Solve for x
    x = 17,413,992,796.80/148,591.62
  6. Step 6: Final answer
    x = 117,193.64

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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.