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Finding the Fourth Proportional to 200,976.24, 301,464.72 and 150,427.92

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Solution

The fourth proportional to 200,976.24, 301,464.72 and 150,427.92 is: 225,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.24 : 301,464.72 = 150,427.92 : x
  2. Step 2: Convert to fraction form
    200,976.24/301,464.72 = 150,427.92/x
  3. Step 3: Cross multiply
    200,976.24x = 301,464.72 × 150,427.92
  4. Step 4: Simplify right side
    200,976.24x = 45,348,710,782.98
  5. Step 5: Solve for x
    x = 45,348,710,782.98/200,976.24
  6. Step 6: Final answer
    x = 225,642.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.