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Finding the Fourth Proportional to 215,643.20, 323,464.80 and 194,907.20

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Solution

The fourth proportional to 215,643.20, 323,464.80 and 194,907.20 is: 292,360.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,643.20 : 323,464.80 = 194,907.20 : x
  2. Step 2: Convert to fraction form
    215,643.20/323,464.80 = 194,907.20/x
  3. Step 3: Cross multiply
    215,643.20x = 323,464.80 × 194,907.20
  4. Step 4: Simplify right side
    215,643.20x = 63,045,618,466.56
  5. Step 5: Solve for x
    x = 63,045,618,466.56/215,643.20
  6. Step 6: Final answer
    x = 292,360.80

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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.