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Finding the Fourth Proportional to 233,853.84, 350,617.47 and 119,780.09

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Solution

The fourth proportional to 233,853.84, 350,617.47 and 119,780.09 is: 179,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,853.84 : 350,617.47 = 119,780.09 : x
  2. Step 2: Convert to fraction form
    233,853.84/350,617.47 = 119,780.09/x
  3. Step 3: Cross multiply
    233,853.84x = 350,617.47 × 119,780.09
  4. Step 4: Simplify right side
    233,853.84x = 41,996,991,747.27
  5. Step 5: Solve for x
    x = 41,996,991,747.27/233,853.84
  6. Step 6: Final answer
    x = 179,586.50

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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.