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Finding the Fourth Proportional to 101,972.29, 140,724.22 and 56,652.18

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Solution

The fourth proportional to 101,972.29, 140,724.22 and 56,652.18 is: 78,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972.29 : 140,724.22 = 56,652.18 : x
  2. Step 2: Convert to fraction form
    101,972.29/140,724.22 = 56,652.18/x
  3. Step 3: Cross multiply
    101,972.29x = 140,724.22 × 56,652.18
  4. Step 4: Simplify right side
    101,972.29x = 7,972,334,705.04
  5. Step 5: Solve for x
    x = 7,972,334,705.04/101,972.29
  6. Step 6: Final answer
    x = 78,181.38

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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.