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Finding the Fourth Proportional to 256,521.80, 384,977.10 and 167,745.80

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Solution

The fourth proportional to 256,521.80, 384,977.10 and 167,745.80 is: 251,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,521.80 : 384,977.10 = 167,745.80 : x
  2. Step 2: Convert to fraction form
    256,521.80/384,977.10 = 167,745.80/x
  3. Step 3: Cross multiply
    256,521.80x = 384,977.10 × 167,745.80
  4. Step 4: Simplify right side
    256,521.80x = 64,578,291,621.18
  5. Step 5: Solve for x
    x = 64,578,291,621.18/256,521.80
  6. Step 6: Final answer
    x = 251,745.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.