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Finding the Fourth Proportional to 266,546.68, 367,742.46 and 165,938.20

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Solution

The fourth proportional to 266,546.68, 367,742.46 and 165,938.20 is: 228,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,546.68 : 367,742.46 = 165,938.20 : x
  2. Step 2: Convert to fraction form
    266,546.68/367,742.46 = 165,938.20/x
  3. Step 3: Cross multiply
    266,546.68x = 367,742.46 × 165,938.20
  4. Step 4: Simplify right side
    266,546.68x = 61,022,521,875.97
  5. Step 5: Solve for x
    x = 61,022,521,875.97/266,546.68
  6. Step 6: Final answer
    x = 228,937.47

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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.