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Finding the Fourth Proportional to 261,093.96, 391,815.90 and 167,665.32

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Solution

The fourth proportional to 261,093.96, 391,815.90 and 167,665.32 is: 251,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,093.96 : 391,815.90 = 167,665.32 : x
  2. Step 2: Convert to fraction form
    261,093.96/391,815.90 = 167,665.32/x
  3. Step 3: Cross multiply
    261,093.96x = 391,815.90 × 167,665.32
  4. Step 4: Simplify right side
    261,093.96x = 65,693,938,254.59
  5. Step 5: Solve for x
    x = 65,693,938,254.59/261,093.96
  6. Step 6: Final answer
    x = 251,610.33

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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.