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Finding the Fourth Proportional to 154,301.69, 231,078.78 and 106,783.62

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Solution

The fourth proportional to 154,301.69, 231,078.78 and 106,783.62 is: 159,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,301.69 : 231,078.78 = 106,783.62 : x
  2. Step 2: Convert to fraction form
    154,301.69/231,078.78 = 106,783.62/x
  3. Step 3: Cross multiply
    154,301.69x = 231,078.78 × 106,783.62
  4. Step 4: Simplify right side
    154,301.69x = 24,675,428,633.58
  5. Step 5: Solve for x
    x = 24,675,428,633.58/154,301.69
  6. Step 6: Final answer
    x = 159,916.78

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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.