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Finding the Fourth Proportional to 82,180.84, 113,379.12 and 60,722.32

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Solution

The fourth proportional to 82,180.84, 113,379.12 and 60,722.32 is: 83,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,180.84 : 113,379.12 = 60,722.32 : x
  2. Step 2: Convert to fraction form
    82,180.84/113,379.12 = 60,722.32/x
  3. Step 3: Cross multiply
    82,180.84x = 113,379.12 × 60,722.32
  4. Step 4: Simplify right side
    82,180.84x = 6,884,643,205.96
  5. Step 5: Solve for x
    x = 6,884,643,205.96/82,180.84
  6. Step 6: Final answer
    x = 83,774.31

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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.