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Finding the Fourth Proportional to 277,509.42, 382,963.68 and 150,186.42

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Solution

The fourth proportional to 277,509.42, 382,963.68 and 150,186.42 is: 207,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,509.42 : 382,963.68 = 150,186.42 : x
  2. Step 2: Convert to fraction form
    277,509.42/382,963.68 = 150,186.42/x
  3. Step 3: Cross multiply
    277,509.42x = 382,963.68 × 150,186.42
  4. Step 4: Simplify right side
    277,509.42x = 57,515,944,089.23
  5. Step 5: Solve for x
    x = 57,515,944,089.23/277,509.42
  6. Step 6: Final answer
    x = 207,257.63

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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.