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Finding the Fourth Proportional to 233,952.56, 350,958 and 76,138.64

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Solution

The fourth proportional to 233,952.56, 350,958 and 76,138.64 is: 114,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,952.56 : 350,958 = 76,138.64 : x
  2. Step 2: Convert to fraction form
    233,952.56/350,958 = 76,138.64/x
  3. Step 3: Cross multiply
    233,952.56x = 350,958 × 76,138.64
  4. Step 4: Simplify right side
    233,952.56x = 26,721,464,817.12
  5. Step 5: Solve for x
    x = 26,721,464,817.12/233,952.56
  6. Step 6: Final answer
    x = 114,217.45

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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.