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Finding the Fourth Proportional to 269,216.70, 371,381.67 and 184,415.10

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Solution

The fourth proportional to 269,216.70, 371,381.67 and 184,415.10 is: 254,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,216.70 : 371,381.67 = 184,415.10 : x
  2. Step 2: Convert to fraction form
    269,216.70/371,381.67 = 184,415.10/x
  3. Step 3: Cross multiply
    269,216.70x = 371,381.67 × 184,415.10
  4. Step 4: Simplify right side
    269,216.70x = 68,488,387,811.22
  5. Step 5: Solve for x
    x = 68,488,387,811.22/269,216.70
  6. Step 6: Final answer
    x = 254,398.73

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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.