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Finding the Fourth Proportional to 277,506.88, 382,960.16 and 150,183.84

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Solution

The fourth proportional to 277,506.88, 382,960.16 and 150,183.84 is: 207,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,506.88 : 382,960.16 = 150,183.84 : x
  2. Step 2: Convert to fraction form
    277,506.88/382,960.16 = 150,183.84/x
  3. Step 3: Cross multiply
    277,506.88x = 382,960.16 × 150,183.84
  4. Step 4: Simplify right side
    277,506.88x = 57,514,427,395.81
  5. Step 5: Solve for x
    x = 57,514,427,395.81/277,506.88
  6. Step 6: Final answer
    x = 207,254.06

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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.