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Finding the Fourth Proportional to 289,740.20, 434,610.30 and 148,022.60

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Solution

The fourth proportional to 289,740.20, 434,610.30 and 148,022.60 is: 222,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,740.20 : 434,610.30 = 148,022.60 : x
  2. Step 2: Convert to fraction form
    289,740.20/434,610.30 = 148,022.60/x
  3. Step 3: Cross multiply
    289,740.20x = 434,610.30 × 148,022.60
  4. Step 4: Simplify right side
    289,740.20x = 64,332,146,592.78
  5. Step 5: Solve for x
    x = 64,332,146,592.78/289,740.20
  6. Step 6: Final answer
    x = 222,033.90

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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.