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Finding the Fourth Proportional to 188,994.43, 283,484.56 and 46,840.17

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Solution

The fourth proportional to 188,994.43, 283,484.56 and 46,840.17 is: 70,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,994.43 : 283,484.56 = 46,840.17 : x
  2. Step 2: Convert to fraction form
    188,994.43/283,484.56 = 46,840.17/x
  3. Step 3: Cross multiply
    188,994.43x = 283,484.56 × 46,840.17
  4. Step 4: Simplify right side
    188,994.43x = 13,278,464,982.78
  5. Step 5: Solve for x
    x = 13,278,464,982.78/188,994.43
  6. Step 6: Final answer
    x = 70,258.50

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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.