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Finding the Fourth Proportional to 233,654.40, 350,494.02 and 75,871.26

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Solution

The fourth proportional to 233,654.40, 350,494.02 and 75,871.26 is: 113,810.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,654.40 : 350,494.02 = 75,871.26 : x
  2. Step 2: Convert to fraction form
    233,654.40/350,494.02 = 75,871.26/x
  3. Step 3: Cross multiply
    233,654.40x = 350,494.02 × 75,871.26
  4. Step 4: Simplify right side
    233,654.40x = 26,592,422,919.87
  5. Step 5: Solve for x
    x = 26,592,422,919.87/233,654.40
  6. Step 6: Final answer
    x = 113,810.92

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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.