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Finding the Fourth Proportional to 251,596.75, 347,203.52 and 138,417.07

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Solution

The fourth proportional to 251,596.75, 347,203.52 and 138,417.07 is: 191,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,596.75 : 347,203.52 = 138,417.07 : x
  2. Step 2: Convert to fraction form
    251,596.75/347,203.52 = 138,417.07/x
  3. Step 3: Cross multiply
    251,596.75x = 347,203.52 × 138,417.07
  4. Step 4: Simplify right side
    251,596.75x = 48,058,893,932.09
  5. Step 5: Solve for x
    x = 48,058,893,932.09/251,596.75
  6. Step 6: Final answer
    x = 191,015.56

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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.