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Finding the Fourth Proportional to 188,075.44, 282,131.34 and 54,952.66

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Solution

The fourth proportional to 188,075.44, 282,131.34 and 54,952.66 is: 82,434.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,075.44 : 282,131.34 = 54,952.66 : x
  2. Step 2: Convert to fraction form
    188,075.44/282,131.34 = 54,952.66/x
  3. Step 3: Cross multiply
    188,075.44x = 282,131.34 × 54,952.66
  4. Step 4: Simplify right side
    188,075.44x = 15,503,867,602.36
  5. Step 5: Solve for x
    x = 15,503,867,602.36/188,075.44
  6. Step 6: Final answer
    x = 82,434.30

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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.