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Finding the Fourth Proportional to 261,102.37, 391,674.31 and 111,343.94

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Solution

The fourth proportional to 261,102.37, 391,674.31 and 111,343.94 is: 167,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,102.37 : 391,674.31 = 111,343.94 : x
  2. Step 2: Convert to fraction form
    261,102.37/391,674.31 = 111,343.94/x
  3. Step 3: Cross multiply
    261,102.37x = 391,674.31 × 111,343.94
  4. Step 4: Simplify right side
    261,102.37x = 43,610,561,518.97
  5. Step 5: Solve for x
    x = 43,610,561,518.97/261,102.37
  6. Step 6: Final answer
    x = 167,024.76

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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.