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Finding the Fourth Proportional to 268,772.90, 370,906.89 and 147,922.94

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Solution

The fourth proportional to 268,772.90, 370,906.89 and 147,922.94 is: 204,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,772.90 : 370,906.89 = 147,922.94 : x
  2. Step 2: Convert to fraction form
    268,772.90/370,906.89 = 147,922.94/x
  3. Step 3: Cross multiply
    268,772.90x = 370,906.89 × 147,922.94
  4. Step 4: Simplify right side
    268,772.90x = 54,865,637,635.06
  5. Step 5: Solve for x
    x = 54,865,637,635.06/268,772.90
  6. Step 6: Final answer
    x = 204,133.82

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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.