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Finding the Fourth Proportional to 188,283.62, 259,821.96 and 106,599.16

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Solution

The fourth proportional to 188,283.62, 259,821.96 and 106,599.16 is: 147,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,283.62 : 259,821.96 = 106,599.16 : x
  2. Step 2: Convert to fraction form
    188,283.62/259,821.96 = 106,599.16/x
  3. Step 3: Cross multiply
    188,283.62x = 259,821.96 × 106,599.16
  4. Step 4: Simplify right side
    188,283.62x = 27,696,802,685.55
  5. Step 5: Solve for x
    x = 27,696,802,685.55/188,283.62
  6. Step 6: Final answer
    x = 147,101.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.