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Finding the Fourth Proportional to 193,188.95, 289,750.61 and 51,035.77

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Solution

The fourth proportional to 193,188.95, 289,750.61 and 51,035.77 is: 76,544.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,188.95 : 289,750.61 = 51,035.77 : x
  2. Step 2: Convert to fraction form
    193,188.95/289,750.61 = 51,035.77/x
  3. Step 3: Cross multiply
    193,188.95x = 289,750.61 × 51,035.77
  4. Step 4: Simplify right side
    193,188.95x = 14,787,644,040.57
  5. Step 5: Solve for x
    x = 14,787,644,040.57/193,188.95
  6. Step 6: Final answer
    x = 76,544.98

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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.