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Finding the Fourth Proportional to 289,035.30, 433,358.55 and 154,121.70

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Solution

The fourth proportional to 289,035.30, 433,358.55 and 154,121.70 is: 231,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,035.30 : 433,358.55 = 154,121.70 : x
  2. Step 2: Convert to fraction form
    289,035.30/433,358.55 = 154,121.70/x
  3. Step 3: Cross multiply
    289,035.30x = 433,358.55 × 154,121.70
  4. Step 4: Simplify right side
    289,035.30x = 66,789,956,435.54
  5. Step 5: Solve for x
    x = 66,789,956,435.54/289,035.30
  6. Step 6: Final answer
    x = 231,078.89

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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.