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Finding the Fourth Proportional to 277,168.94, 382,493.04 and 149,844.50

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Solution

The fourth proportional to 277,168.94, 382,493.04 and 149,844.50 is: 206,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,168.94 : 382,493.04 = 149,844.50 : x
  2. Step 2: Convert to fraction form
    277,168.94/382,493.04 = 149,844.50/x
  3. Step 3: Cross multiply
    277,168.94x = 382,493.04 × 149,844.50
  4. Step 4: Simplify right side
    277,168.94x = 57,314,478,332.28
  5. Step 5: Solve for x
    x = 57,314,478,332.28/277,168.94
  6. Step 6: Final answer
    x = 206,785.36

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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.