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Finding the Fourth Proportional to 231,022.30, 346,383.60 and 97,866.40

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Solution

The fourth proportional to 231,022.30, 346,383.60 and 97,866.40 is: 146,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,022.30 : 346,383.60 = 97,866.40 : x
  2. Step 2: Convert to fraction form
    231,022.30/346,383.60 = 97,866.40/x
  3. Step 3: Cross multiply
    231,022.30x = 346,383.60 × 97,866.40
  4. Step 4: Simplify right side
    231,022.30x = 33,899,315,951.04
  5. Step 5: Solve for x
    x = 33,899,315,951.04/231,022.30
  6. Step 6: Final answer
    x = 146,736.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.