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Finding the Fourth Proportional to 277,180.33, 382,509.79 and 149,856.83

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Solution

The fourth proportional to 277,180.33, 382,509.79 and 149,856.83 is: 206,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,180.33 : 382,509.79 = 149,856.83 : x
  2. Step 2: Convert to fraction form
    277,180.33/382,509.79 = 149,856.83/x
  3. Step 3: Cross multiply
    277,180.33x = 382,509.79 × 149,856.83
  4. Step 4: Simplify right side
    277,180.33x = 57,321,705,155.00
  5. Step 5: Solve for x
    x = 57,321,705,155.00/277,180.33
  6. Step 6: Final answer
    x = 206,802.93

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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.