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Finding the Fourth Proportional to 148,591.25, 205,059.53 and 81,523.25

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Solution

The fourth proportional to 148,591.25, 205,059.53 and 81,523.25 is: 112,504.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,591.25 : 205,059.53 = 81,523.25 : x
  2. Step 2: Convert to fraction form
    148,591.25/205,059.53 = 81,523.25/x
  3. Step 3: Cross multiply
    148,591.25x = 205,059.53 × 81,523.25
  4. Step 4: Simplify right side
    148,591.25x = 16,717,118,921.46
  5. Step 5: Solve for x
    x = 16,717,118,921.46/148,591.25
  6. Step 6: Final answer
    x = 112,504.06

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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.