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Finding the Fourth Proportional to 188,562.58, 282,843.74 and 55,443.94

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Solution

The fourth proportional to 188,562.58, 282,843.74 and 55,443.94 is: 83,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,562.58 : 282,843.74 = 55,443.94 : x
  2. Step 2: Convert to fraction form
    188,562.58/282,843.74 = 55,443.94/x
  3. Step 3: Cross multiply
    188,562.58x = 282,843.74 × 55,443.94
  4. Step 4: Simplify right side
    188,562.58x = 15,681,971,349.94
  5. Step 5: Solve for x
    x = 15,681,971,349.94/188,562.58
  6. Step 6: Final answer
    x = 83,165.87

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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.