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Finding the Fourth Proportional to 188,892.54, 283,390.55 and 55,772.68

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Solution

The fourth proportional to 188,892.54, 283,390.55 and 55,772.68 is: 83,674.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,892.54 : 283,390.55 = 55,772.68 : x
  2. Step 2: Convert to fraction form
    188,892.54/283,390.55 = 55,772.68/x
  3. Step 3: Cross multiply
    188,892.54x = 283,390.55 × 55,772.68
  4. Step 4: Simplify right side
    188,892.54x = 15,805,450,460.17
  5. Step 5: Solve for x
    x = 15,805,450,460.17/188,892.54
  6. Step 6: Final answer
    x = 83,674.30

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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.