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Finding the Fourth Proportional to 138,603.02, 191,321.32 and 82,014.26

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Solution

The fourth proportional to 138,603.02, 191,321.32 and 82,014.26 is: 113,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,603.02 : 191,321.32 = 82,014.26 : x
  2. Step 2: Convert to fraction form
    138,603.02/191,321.32 = 82,014.26/x
  3. Step 3: Cross multiply
    138,603.02x = 191,321.32 × 82,014.26
  4. Step 4: Simplify right side
    138,603.02x = 15,691,076,482.02
  5. Step 5: Solve for x
    x = 15,691,076,482.02/138,603.02
  6. Step 6: Final answer
    x = 113,208.76

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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.