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Finding the Fourth Proportional to 255,102.82, 382,210.95 and 179,040.10

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Solution

The fourth proportional to 255,102.82, 382,210.95 and 179,040.10 is: 268,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,102.82 : 382,210.95 = 179,040.10 : x
  2. Step 2: Convert to fraction form
    255,102.82/382,210.95 = 179,040.10/x
  3. Step 3: Cross multiply
    255,102.82x = 382,210.95 × 179,040.10
  4. Step 4: Simplify right side
    255,102.82x = 68,431,086,709.10
  5. Step 5: Solve for x
    x = 68,431,086,709.10/255,102.82
  6. Step 6: Final answer
    x = 268,249.04

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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.