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Finding the Fourth Proportional to 119,863.96, 178,884.53 and 106,578.28

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Solution

The fourth proportional to 119,863.96, 178,884.53 and 106,578.28 is: 159,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,863.96 : 178,884.53 = 106,578.28 : x
  2. Step 2: Convert to fraction form
    119,863.96/178,884.53 = 106,578.28/x
  3. Step 3: Cross multiply
    119,863.96x = 178,884.53 × 106,578.28
  4. Step 4: Simplify right side
    119,863.96x = 19,065,205,526.01
  5. Step 5: Solve for x
    x = 19,065,205,526.01/119,863.96
  6. Step 6: Final answer
    x = 159,057.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.