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Finding the Fourth Proportional to 138,039.10, 207,065.34 and 38,197.09

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Solution

The fourth proportional to 138,039.10, 207,065.34 and 38,197.09 is: 57,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,039.10 : 207,065.34 = 38,197.09 : x
  2. Step 2: Convert to fraction form
    138,039.10/207,065.34 = 38,197.09/x
  3. Step 3: Cross multiply
    138,039.10x = 207,065.34 × 38,197.09
  4. Step 4: Simplify right side
    138,039.10x = 7,909,293,427.86
  5. Step 5: Solve for x
    x = 7,909,293,427.86/138,039.10
  6. Step 6: Final answer
    x = 57,297.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.