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Finding the Fourth Proportional to 148,523.63, 204,975.56 and 81,468.59

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Solution

The fourth proportional to 148,523.63, 204,975.56 and 81,468.59 is: 112,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,523.63 : 204,975.56 = 81,468.59 : x
  2. Step 2: Convert to fraction form
    148,523.63/204,975.56 = 81,468.59/x
  3. Step 3: Cross multiply
    148,523.63x = 204,975.56 × 81,468.59
  4. Step 4: Simplify right side
    148,523.63x = 16,699,069,036.45
  5. Step 5: Solve for x
    x = 16,699,069,036.45/148,523.63
  6. Step 6: Final answer
    x = 112,433.76

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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.