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Finding the Fourth Proportional to 202,184.68, 278,992.30 and 117,285.32

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Solution

The fourth proportional to 202,184.68, 278,992.30 and 117,285.32 is: 161,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,184.68 : 278,992.30 = 117,285.32 : x
  2. Step 2: Convert to fraction form
    202,184.68/278,992.30 = 117,285.32/x
  3. Step 3: Cross multiply
    202,184.68x = 278,992.30 × 117,285.32
  4. Step 4: Simplify right side
    202,184.68x = 32,721,701,183.04
  5. Step 5: Solve for x
    x = 32,721,701,183.04/202,184.68
  6. Step 6: Final answer
    x = 161,840.66

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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.