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Finding the Fourth Proportional to 186,198.66, 256,464.67 and 143,095.68

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Solution

The fourth proportional to 186,198.66, 256,464.67 and 143,095.68 is: 197,095.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,198.66 : 256,464.67 = 143,095.68 : x
  2. Step 2: Convert to fraction form
    186,198.66/256,464.67 = 143,095.68/x
  3. Step 3: Cross multiply
    186,198.66x = 256,464.67 × 143,095.68
  4. Step 4: Simplify right side
    186,198.66x = 36,698,986,349.63
  5. Step 5: Solve for x
    x = 36,698,986,349.63/186,198.66
  6. Step 6: Final answer
    x = 197,095.87

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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.