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Finding the Fourth Proportional to 233,699.44, 350,395.80 and 83,864.56

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Solution

The fourth proportional to 233,699.44, 350,395.80 and 83,864.56 is: 125,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,699.44 : 350,395.80 = 83,864.56 : x
  2. Step 2: Convert to fraction form
    233,699.44/350,395.80 = 83,864.56/x
  3. Step 3: Cross multiply
    233,699.44x = 350,395.80 × 83,864.56
  4. Step 4: Simplify right side
    233,699.44x = 29,385,789,592.85
  5. Step 5: Solve for x
    x = 29,385,789,592.85/233,699.44
  6. Step 6: Final answer
    x = 125,741.81

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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.