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Finding the Fourth Proportional to 193,065.87, 289,611.77 and 52,825.71

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Solution

The fourth proportional to 193,065.87, 289,611.77 and 52,825.71 is: 79,242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,065.87 : 289,611.77 = 52,825.71 : x
  2. Step 2: Convert to fraction form
    193,065.87/289,611.77 = 52,825.71/x
  3. Step 3: Cross multiply
    193,065.87x = 289,611.77 × 52,825.71
  4. Step 4: Simplify right side
    193,065.87x = 15,298,947,110.48
  5. Step 5: Solve for x
    x = 15,298,947,110.48/193,065.87
  6. Step 6: Final answer
    x = 79,242.11

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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.