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Finding the Fourth Proportional to 222,831.42, 334,211.31 and 65,022.90

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Solution

The fourth proportional to 222,831.42, 334,211.31 and 65,022.90 is: 97,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,831.42 : 334,211.31 = 65,022.90 : x
  2. Step 2: Convert to fraction form
    222,831.42/334,211.31 = 65,022.90/x
  3. Step 3: Cross multiply
    222,831.42x = 334,211.31 × 65,022.90
  4. Step 4: Simplify right side
    222,831.42x = 21,731,388,589.00
  5. Step 5: Solve for x
    x = 21,731,388,589.00/222,831.42
  6. Step 6: Final answer
    x = 97,523.90

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Why These Related Problems?

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