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Finding the Fourth Proportional to 198,592.79, 297,795.56 and 72,143.87

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Solution

The fourth proportional to 198,592.79, 297,795.56 and 72,143.87 is: 108,181.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,592.79 : 297,795.56 = 72,143.87 : x
  2. Step 2: Convert to fraction form
    198,592.79/297,795.56 = 72,143.87/x
  3. Step 3: Cross multiply
    198,592.79x = 297,795.56 × 72,143.87
  4. Step 4: Simplify right side
    198,592.79x = 21,484,122,317.52
  5. Step 5: Solve for x
    x = 21,484,122,317.52/198,592.79
  6. Step 6: Final answer
    x = 108,181.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.