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Finding the Fourth Proportional to 193,761.86, 290,708.39 and 87,134.67

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Solution

The fourth proportional to 193,761.86, 290,708.39 and 87,134.67 is: 130,731.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,761.86 : 290,708.39 = 87,134.67 : x
  2. Step 2: Convert to fraction form
    193,761.86/290,708.39 = 87,134.67/x
  3. Step 3: Cross multiply
    193,761.86x = 290,708.39 × 87,134.67
  4. Step 4: Simplify right side
    193,761.86x = 25,330,779,846.72
  5. Step 5: Solve for x
    x = 25,330,779,846.72/193,761.86
  6. Step 6: Final answer
    x = 130,731.51

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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.