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Finding the Fourth Proportional to 202,942.96, 280,061.62 and 112,302.74

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Solution

The fourth proportional to 202,942.96, 280,061.62 and 112,302.74 is: 154,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942.96 : 280,061.62 = 112,302.74 : x
  2. Step 2: Convert to fraction form
    202,942.96/280,061.62 = 112,302.74/x
  3. Step 3: Cross multiply
    202,942.96x = 280,061.62 × 112,302.74
  4. Step 4: Simplify right side
    202,942.96x = 31,451,687,294.84
  5. Step 5: Solve for x
    x = 31,451,687,294.84/202,942.96
  6. Step 6: Final answer
    x = 154,977.97

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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.