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Finding the Fourth Proportional to 212,497.82, 293,235.86 and 116,986.06

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Solution

The fourth proportional to 212,497.82, 293,235.86 and 116,986.06 is: 161,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,497.82 : 293,235.86 = 116,986.06 : x
  2. Step 2: Convert to fraction form
    212,497.82/293,235.86 = 116,986.06/x
  3. Step 3: Cross multiply
    212,497.82x = 293,235.86 × 116,986.06
  4. Step 4: Simplify right side
    212,497.82x = 34,304,507,912.11
  5. Step 5: Solve for x
    x = 34,304,507,912.11/212,497.82
  6. Step 6: Final answer
    x = 161,434.63

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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.