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Finding the Fourth Proportional to 182,597.90, 251,986.34 and 102,028.82

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Solution

The fourth proportional to 182,597.90, 251,986.34 and 102,028.82 is: 140,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,597.90 : 251,986.34 = 102,028.82 : x
  2. Step 2: Convert to fraction form
    182,597.90/251,986.34 = 102,028.82/x
  3. Step 3: Cross multiply
    182,597.90x = 251,986.34 × 102,028.82
  4. Step 4: Simplify right side
    182,597.90x = 25,709,867,921.46
  5. Step 5: Solve for x
    x = 25,709,867,921.46/182,597.90
  6. Step 6: Final answer
    x = 140,800.46

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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.