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Finding the Fourth Proportional to 214,907.88, 320,784.45 and 199,074

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Solution

The fourth proportional to 214,907.88, 320,784.45 and 199,074 is: 297,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,907.88 : 320,784.45 = 199,074 : x
  2. Step 2: Convert to fraction form
    214,907.88/320,784.45 = 199,074/x
  3. Step 3: Cross multiply
    214,907.88x = 320,784.45 × 199,074
  4. Step 4: Simplify right side
    214,907.88x = 63,859,843,599.30
  5. Step 5: Solve for x
    x = 63,859,843,599.30/214,907.88
  6. Step 6: Final answer
    x = 297,149.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.