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Finding the Fourth Proportional to 277,510.12, 382,963.94 and 150,185.74

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Solution

The fourth proportional to 277,510.12, 382,963.94 and 150,185.74 is: 207,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510.12 : 382,963.94 = 150,185.74 : x
  2. Step 2: Convert to fraction form
    277,510.12/382,963.94 = 150,185.74/x
  3. Step 3: Cross multiply
    277,510.12x = 382,963.94 × 150,185.74
  4. Step 4: Simplify right side
    277,510.12x = 57,515,722,722.22
  5. Step 5: Solve for x
    x = 57,515,722,722.22/277,510.12
  6. Step 6: Final answer
    x = 207,256.31

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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.