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Finding the Fourth Proportional to 277,184.82, 382,515.02 and 149,860.42

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Solution

The fourth proportional to 277,184.82, 382,515.02 and 149,860.42 is: 206,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,184.82 : 382,515.02 = 149,860.42 : x
  2. Step 2: Convert to fraction form
    277,184.82/382,515.02 = 149,860.42/x
  3. Step 3: Cross multiply
    277,184.82x = 382,515.02 × 149,860.42
  4. Step 4: Simplify right side
    277,184.82x = 57,323,861,553.51
  5. Step 5: Solve for x
    x = 57,323,861,553.51/277,184.82
  6. Step 6: Final answer
    x = 206,807.36

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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.