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Finding the Fourth Proportional to 188,291.82, 282,440.01 and 55,174.77

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Solution

The fourth proportional to 188,291.82, 282,440.01 and 55,174.77 is: 82,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,291.82 : 282,440.01 = 55,174.77 : x
  2. Step 2: Convert to fraction form
    188,291.82/282,440.01 = 55,174.77/x
  3. Step 3: Cross multiply
    188,291.82x = 282,440.01 × 55,174.77
  4. Step 4: Simplify right side
    188,291.82x = 15,583,563,649.70
  5. Step 5: Solve for x
    x = 15,583,563,649.70/188,291.82
  6. Step 6: Final answer
    x = 82,762.83

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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.