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Finding the Fourth Proportional to 276,822.38, 382,014.86 and 149,497.95

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Solution

The fourth proportional to 276,822.38, 382,014.86 and 149,497.95 is: 206,307.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,822.38 : 382,014.86 = 149,497.95 : x
  2. Step 2: Convert to fraction form
    276,822.38/382,014.86 = 149,497.95/x
  3. Step 3: Cross multiply
    276,822.38x = 382,014.86 × 149,497.95
  4. Step 4: Simplify right side
    276,822.38x = 57,110,437,692.05
  5. Step 5: Solve for x
    x = 57,110,437,692.05/276,822.38
  6. Step 6: Final answer
    x = 206,307.16

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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.