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Finding the Fourth Proportional to 311,775.38, 467,664.05 and 87,134.33

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Solution

The fourth proportional to 311,775.38, 467,664.05 and 87,134.33 is: 130,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,775.38 : 467,664.05 = 87,134.33 : x
  2. Step 2: Convert to fraction form
    311,775.38/467,664.05 = 87,134.33/x
  3. Step 3: Cross multiply
    311,775.38x = 467,664.05 × 87,134.33
  4. Step 4: Simplify right side
    311,775.38x = 40,749,590,887.84
  5. Step 5: Solve for x
    x = 40,749,590,887.84/311,775.38
  6. Step 6: Final answer
    x = 130,701.76

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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.