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Finding the Fourth Proportional to 101,833.46, 140,523.82 and 61,523.40

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Solution

The fourth proportional to 101,833.46, 140,523.82 and 61,523.40 is: 84,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,833.46 : 140,523.82 = 61,523.40 : x
  2. Step 2: Convert to fraction form
    101,833.46/140,523.82 = 61,523.40/x
  3. Step 3: Cross multiply
    101,833.46x = 140,523.82 × 61,523.40
  4. Step 4: Simplify right side
    101,833.46x = 8,645,503,187.39
  5. Step 5: Solve for x
    x = 8,645,503,187.39/101,833.46
  6. Step 6: Final answer
    x = 84,898.45

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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.