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Finding the Fourth Proportional to 193,124.70, 289,672.65 and 80,775.90

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Solution

The fourth proportional to 193,124.70, 289,672.65 and 80,775.90 is: 121,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,124.70 : 289,672.65 = 80,775.90 : x
  2. Step 2: Convert to fraction form
    193,124.70/289,672.65 = 80,775.90/x
  3. Step 3: Cross multiply
    193,124.70x = 289,672.65 × 80,775.90
  4. Step 4: Simplify right side
    193,124.70x = 23,398,569,009.14
  5. Step 5: Solve for x
    x = 23,398,569,009.14/193,124.70
  6. Step 6: Final answer
    x = 121,157.83

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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.