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Finding the Fourth Proportional to 109,270.76, 150,781.92 and 61,523.24

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Solution

The fourth proportional to 109,270.76, 150,781.92 and 61,523.24 is: 84,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,270.76 : 150,781.92 = 61,523.24 : x
  2. Step 2: Convert to fraction form
    109,270.76/150,781.92 = 61,523.24/x
  3. Step 3: Cross multiply
    109,270.76x = 150,781.92 × 61,523.24
  4. Step 4: Simplify right side
    109,270.76x = 9,276,592,251.82
  5. Step 5: Solve for x
    x = 9,276,592,251.82/109,270.76
  6. Step 6: Final answer
    x = 84,895.47

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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.