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Finding the Fourth Proportional to 139,927.54, 209,924.14 and 55,692.82

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Solution

The fourth proportional to 139,927.54, 209,924.14 and 55,692.82 is: 83,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,927.54 : 209,924.14 = 55,692.82 : x
  2. Step 2: Convert to fraction form
    139,927.54/209,924.14 = 55,692.82/x
  3. Step 3: Cross multiply
    139,927.54x = 209,924.14 × 55,692.82
  4. Step 4: Simplify right side
    139,927.54x = 11,691,267,342.67
  5. Step 5: Solve for x
    x = 11,691,267,342.67/139,927.54
  6. Step 6: Final answer
    x = 83,552.30

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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.