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Finding the Fourth Proportional to 243,832.24, 365,657.63 and 83,863.27

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Solution

The fourth proportional to 243,832.24, 365,657.63 and 83,863.27 is: 125,763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,832.24 : 365,657.63 = 83,863.27 : x
  2. Step 2: Convert to fraction form
    243,832.24/365,657.63 = 83,863.27/x
  3. Step 3: Cross multiply
    243,832.24x = 365,657.63 × 83,863.27
  4. Step 4: Simplify right side
    243,832.24x = 30,665,243,533.28
  5. Step 5: Solve for x
    x = 30,665,243,533.28/243,832.24
  6. Step 6: Final answer
    x = 125,763.70

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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.