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Finding the Fourth Proportional to 193,015.92, 289,509.93 and 59,892.78

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Solution

The fourth proportional to 193,015.92, 289,509.93 and 59,892.78 is: 89,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,015.92 : 289,509.93 = 59,892.78 : x
  2. Step 2: Convert to fraction form
    193,015.92/289,509.93 = 59,892.78/x
  3. Step 3: Cross multiply
    193,015.92x = 289,509.93 × 59,892.78
  4. Step 4: Simplify right side
    193,015.92x = 17,339,554,545.31
  5. Step 5: Solve for x
    x = 17,339,554,545.31/193,015.92
  6. Step 6: Final answer
    x = 89,834.84

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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.