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Finding the Fourth Proportional to 306,023.69, 422,311.10 and 168,205.79

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Solution

The fourth proportional to 306,023.69, 422,311.10 and 168,205.79 is: 232,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,023.69 : 422,311.10 = 168,205.79 : x
  2. Step 2: Convert to fraction form
    306,023.69/422,311.10 = 168,205.79/x
  3. Step 3: Cross multiply
    306,023.69x = 422,311.10 × 168,205.79
  4. Step 4: Simplify right side
    306,023.69x = 71,035,172,416.02
  5. Step 5: Solve for x
    x = 71,035,172,416.02/306,023.69
  6. Step 6: Final answer
    x = 232,123.11

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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.