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Finding the Fourth Proportional to 110,103.98, 151,954.14 and 61,714.13

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Solution

The fourth proportional to 110,103.98, 151,954.14 and 61,714.13 is: 85,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,103.98 : 151,954.14 = 61,714.13 : x
  2. Step 2: Convert to fraction form
    110,103.98/151,954.14 = 61,714.13/x
  3. Step 3: Cross multiply
    110,103.98x = 151,954.14 × 61,714.13
  4. Step 4: Simplify right side
    110,103.98x = 9,377,716,790.23
  5. Step 5: Solve for x
    x = 9,377,716,790.23/110,103.98
  6. Step 6: Final answer
    x = 85,171.46

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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.