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Finding the Fourth Proportional to 301,747.95, 416,387.25 and 165,774.87

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Solution

The fourth proportional to 301,747.95, 416,387.25 and 165,774.87 is: 228,755.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,747.95 : 416,387.25 = 165,774.87 : x
  2. Step 2: Convert to fraction form
    301,747.95/416,387.25 = 165,774.87/x
  3. Step 3: Cross multiply
    301,747.95x = 416,387.25 × 165,774.87
  4. Step 4: Simplify right side
    301,747.95x = 69,026,542,238.41
  5. Step 5: Solve for x
    x = 69,026,542,238.41/301,747.95
  6. Step 6: Final answer
    x = 228,755.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.