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Finding the Fourth Proportional to 268,678, 370,777.80 and 149,446

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Solution

The fourth proportional to 268,678, 370,777.80 and 149,446 is: 206,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,678 : 370,777.80 = 149,446 : x
  2. Step 2: Convert to fraction form
    268,678/370,777.80 = 149,446/x
  3. Step 3: Cross multiply
    268,678x = 370,777.80 × 149,446
  4. Step 4: Simplify right side
    268,678x = 55,411,259,098.80
  5. Step 5: Solve for x
    x = 55,411,259,098.80/268,678
  6. Step 6: Final answer
    x = 206,236.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.