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Finding the Fourth Proportional to 143,009.74, 197,382.16 and 82,590.22

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Solution

The fourth proportional to 143,009.74, 197,382.16 and 82,590.22 is: 113,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,009.74 : 197,382.16 = 82,590.22 : x
  2. Step 2: Convert to fraction form
    143,009.74/197,382.16 = 82,590.22/x
  3. Step 3: Cross multiply
    143,009.74x = 197,382.16 × 82,590.22
  4. Step 4: Simplify right side
    143,009.74x = 16,301,836,018.48
  5. Step 5: Solve for x
    x = 16,301,836,018.48/143,009.74
  6. Step 6: Final answer
    x = 113,991.09

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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.