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Finding the Fourth Proportional to 200,784.82, 301,027.46 and 120,804.06

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Solution

The fourth proportional to 200,784.82, 301,027.46 and 120,804.06 is: 181,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,784.82 : 301,027.46 = 120,804.06 : x
  2. Step 2: Convert to fraction form
    200,784.82/301,027.46 = 120,804.06/x
  3. Step 3: Cross multiply
    200,784.82x = 301,027.46 × 120,804.06
  4. Step 4: Simplify right side
    200,784.82x = 36,365,339,339.49
  5. Step 5: Solve for x
    x = 36,365,339,339.49/200,784.82
  6. Step 6: Final answer
    x = 181,115.98

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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.