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Finding the Fourth Proportional to 188,929.29, 283,431.30 and 53,994.57

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Solution

The fourth proportional to 188,929.29, 283,431.30 and 53,994.57 is: 81,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,929.29 : 283,431.30 = 53,994.57 : x
  2. Step 2: Convert to fraction form
    188,929.29/283,431.30 = 53,994.57/x
  3. Step 3: Cross multiply
    188,929.29x = 283,431.30 × 53,994.57
  4. Step 4: Simplify right side
    188,929.29x = 15,303,751,168.04
  5. Step 5: Solve for x
    x = 15,303,751,168.04/188,929.29
  6. Step 6: Final answer
    x = 81,002.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.