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Finding the Fourth Proportional to 186,821.39, 257,819.21 and 106,260.51

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Solution

The fourth proportional to 186,821.39, 257,819.21 and 106,260.51 is: 146,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,821.39 : 257,819.21 = 106,260.51 : x
  2. Step 2: Convert to fraction form
    186,821.39/257,819.21 = 106,260.51/x
  3. Step 3: Cross multiply
    186,821.39x = 257,819.21 × 106,260.51
  4. Step 4: Simplify right side
    186,821.39x = 27,396,000,211.09
  5. Step 5: Solve for x
    x = 27,396,000,211.09/186,821.39
  6. Step 6: Final answer
    x = 146,642.74

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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.