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Finding the Fourth Proportional to 277,493.18, 382,943.29 and 150,171.42

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Solution

The fourth proportional to 277,493.18, 382,943.29 and 150,171.42 is: 207,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,493.18 : 382,943.29 = 150,171.42 : x
  2. Step 2: Convert to fraction form
    277,493.18/382,943.29 = 150,171.42/x
  3. Step 3: Cross multiply
    277,493.18x = 382,943.29 × 150,171.42
  4. Step 4: Simplify right side
    277,493.18x = 57,507,137,638.77
  5. Step 5: Solve for x
    x = 57,507,137,638.77/277,493.18
  6. Step 6: Final answer
    x = 207,238.02

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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.