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Finding the Fourth Proportional to 110,016, 151,822.26 and 59,715

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Solution

The fourth proportional to 110,016, 151,822.26 and 59,715 is: 82,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,016 : 151,822.26 = 59,715 : x
  2. Step 2: Convert to fraction form
    110,016/151,822.26 = 59,715/x
  3. Step 3: Cross multiply
    110,016x = 151,822.26 × 59,715
  4. Step 4: Simplify right side
    110,016x = 9,066,066,255.90
  5. Step 5: Solve for x
    x = 9,066,066,255.90/110,016
  6. Step 6: Final answer
    x = 82,406.80

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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.