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Finding the Fourth Proportional to 164,912.35, 231,343.85 and 164,912.35

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Solution

The fourth proportional to 164,912.35, 231,343.85 and 164,912.35 is: 231,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,912.35 : 231,343.85 = 164,912.35 : x
  2. Step 2: Convert to fraction form
    164,912.35/231,343.85 = 164,912.35/x
  3. Step 3: Cross multiply
    164,912.35x = 231,343.85 × 164,912.35
  4. Step 4: Simplify right side
    164,912.35x = 38,151,457,961.55
  5. Step 5: Solve for x
    x = 38,151,457,961.55/164,912.35
  6. Step 6: Final answer
    x = 231,343.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.