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Finding the Fourth Proportional to 200,794.52, 277,075.90 and 120,219.95

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Solution

The fourth proportional to 200,794.52, 277,075.90 and 120,219.95 is: 165,891.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,794.52 : 277,075.90 = 120,219.95 : x
  2. Step 2: Convert to fraction form
    200,794.52/277,075.90 = 120,219.95/x
  3. Step 3: Cross multiply
    200,794.52x = 277,075.90 × 120,219.95
  4. Step 4: Simplify right side
    200,794.52x = 33,310,050,844.21
  5. Step 5: Solve for x
    x = 33,310,050,844.21/200,794.52
  6. Step 6: Final answer
    x = 165,891.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.