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Finding the Fourth Proportional to 267,692.45, 369,409.82 and 146,831.54

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Solution

The fourth proportional to 267,692.45, 369,409.82 and 146,831.54 is: 202,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,692.45 : 369,409.82 = 146,831.54 : x
  2. Step 2: Convert to fraction form
    267,692.45/369,409.82 = 146,831.54/x
  3. Step 3: Cross multiply
    267,692.45x = 369,409.82 × 146,831.54
  4. Step 4: Simplify right side
    267,692.45x = 54,241,010,180.52
  5. Step 5: Solve for x
    x = 54,241,010,180.52/267,692.45
  6. Step 6: Final answer
    x = 202,624.36

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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.