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Finding the Fourth Proportional to 188,519.68, 282,710.24 and 55,365.76

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Solution

The fourth proportional to 188,519.68, 282,710.24 and 55,365.76 is: 83,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,519.68 : 282,710.24 = 55,365.76 : x
  2. Step 2: Convert to fraction form
    188,519.68/282,710.24 = 55,365.76/x
  3. Step 3: Cross multiply
    188,519.68x = 282,710.24 × 55,365.76
  4. Step 4: Simplify right side
    188,519.68x = 15,652,467,297.38
  5. Step 5: Solve for x
    x = 15,652,467,297.38/188,519.68
  6. Step 6: Final answer
    x = 83,028.29

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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.