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Finding the Fourth Proportional to 301,869.84, 416,560.26 and 165,900.96

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Solution

The fourth proportional to 301,869.84, 416,560.26 and 165,900.96 is: 228,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,869.84 : 416,560.26 = 165,900.96 : x
  2. Step 2: Convert to fraction form
    301,869.84/416,560.26 = 165,900.96/x
  3. Step 3: Cross multiply
    301,869.84x = 416,560.26 × 165,900.96
  4. Step 4: Simplify right side
    301,869.84x = 69,107,747,031.85
  5. Step 5: Solve for x
    x = 69,107,747,031.85/301,869.84
  6. Step 6: Final answer
    x = 228,932.27

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