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Finding the Fourth Proportional to 277,305.53, 382,681.53 and 149,981.09

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Solution

The fourth proportional to 277,305.53, 382,681.53 and 149,981.09 is: 206,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,305.53 : 382,681.53 = 149,981.09 : x
  2. Step 2: Convert to fraction form
    277,305.53/382,681.53 = 149,981.09/x
  3. Step 3: Cross multiply
    277,305.53x = 382,681.53 × 149,981.09
  4. Step 4: Simplify right side
    277,305.53x = 57,394,991,078.86
  5. Step 5: Solve for x
    x = 57,394,991,078.86/277,305.53
  6. Step 6: Final answer
    x = 206,973.85

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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.