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Finding the Fourth Proportional to 310,120.16, 428,012.09 and 189,331.47

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Solution

The fourth proportional to 310,120.16, 428,012.09 and 189,331.47 is: 261,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,120.16 : 428,012.09 = 189,331.47 : x
  2. Step 2: Convert to fraction form
    310,120.16/428,012.09 = 189,331.47/x
  3. Step 3: Cross multiply
    310,120.16x = 428,012.09 × 189,331.47
  4. Step 4: Simplify right side
    310,120.16x = 81,036,157,230.82
  5. Step 5: Solve for x
    x = 81,036,157,230.82/310,120.16
  6. Step 6: Final answer
    x = 261,305.68

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