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Finding the Fourth Proportional to 277,493.48, 382,942.17 and 150,169.08

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Solution

The fourth proportional to 277,493.48, 382,942.17 and 150,169.08 is: 207,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,493.48 : 382,942.17 = 150,169.08 : x
  2. Step 2: Convert to fraction form
    277,493.48/382,942.17 = 150,169.08/x
  3. Step 3: Cross multiply
    277,493.48x = 382,942.17 × 150,169.08
  4. Step 4: Simplify right side
    277,493.48x = 57,506,073,362.10
  5. Step 5: Solve for x
    x = 57,506,073,362.10/277,493.48
  6. Step 6: Final answer
    x = 207,233.96

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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.