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Finding the Fourth Proportional to 198,078.84, 296,408.57 and 171,516.51

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Solution

The fourth proportional to 198,078.84, 296,408.57 and 171,516.51 is: 256,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,078.84 : 296,408.57 = 171,516.51 : x
  2. Step 2: Convert to fraction form
    198,078.84/296,408.57 = 171,516.51/x
  3. Step 3: Cross multiply
    198,078.84x = 296,408.57 × 171,516.51
  4. Step 4: Simplify right side
    198,078.84x = 50,838,962,602.91
  5. Step 5: Solve for x
    x = 50,838,962,602.91/198,078.84
  6. Step 6: Final answer
    x = 256,660.24

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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.