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Finding the Fourth Proportional to 140,297, 193,615.62 and 80,681

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Solution

The fourth proportional to 140,297, 193,615.62 and 80,681 is: 111,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,297 : 193,615.62 = 80,681 : x
  2. Step 2: Convert to fraction form
    140,297/193,615.62 = 80,681/x
  3. Step 3: Cross multiply
    140,297x = 193,615.62 × 80,681
  4. Step 4: Simplify right side
    140,297x = 15,621,101,837.22
  5. Step 5: Solve for x
    x = 15,621,101,837.22/140,297
  6. Step 6: Final answer
    x = 111,343.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.