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Finding the Fourth Proportional to 277,846.31, 383,427.87 and 150,521.87

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Solution

The fourth proportional to 277,846.31, 383,427.87 and 150,521.87 is: 207,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,846.31 : 383,427.87 = 150,521.87 : x
  2. Step 2: Convert to fraction form
    277,846.31/383,427.87 = 150,521.87/x
  3. Step 3: Cross multiply
    277,846.31x = 383,427.87 × 150,521.87
  4. Step 4: Simplify right side
    277,846.31x = 57,714,280,002.52
  5. Step 5: Solve for x
    x = 57,714,280,002.52/277,846.31
  6. Step 6: Final answer
    x = 207,720.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.