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Finding the Fourth Proportional to 251,595.50, 347,201.79 and 138,415.82

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Solution

The fourth proportional to 251,595.50, 347,201.79 and 138,415.82 is: 191,013.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,595.50 : 347,201.79 = 138,415.82 : x
  2. Step 2: Convert to fraction form
    251,595.50/347,201.79 = 138,415.82/x
  3. Step 3: Cross multiply
    251,595.50x = 347,201.79 × 138,415.82
  4. Step 4: Simplify right side
    251,595.50x = 48,058,220,468.32
  5. Step 5: Solve for x
    x = 48,058,220,468.32/251,595.50
  6. Step 6: Final answer
    x = 191,013.83

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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.