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Finding the Fourth Proportional to 301,717.06, 416,372.22 and 165,754.06

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Solution

The fourth proportional to 301,717.06, 416,372.22 and 165,754.06 is: 228,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,717.06 : 416,372.22 = 165,754.06 : x
  2. Step 2: Convert to fraction form
    301,717.06/416,372.22 = 165,754.06/x
  3. Step 3: Cross multiply
    301,717.06x = 416,372.22 × 165,754.06
  4. Step 4: Simplify right side
    301,717.06x = 69,015,385,936.21
  5. Step 5: Solve for x
    x = 69,015,385,936.21/301,717.06
  6. Step 6: Final answer
    x = 228,742.07

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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.