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Finding the Fourth Proportional to 233,150.65, 349,725.97 and 154,246.46

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Solution

The fourth proportional to 233,150.65, 349,725.97 and 154,246.46 is: 231,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150.65 : 349,725.97 = 154,246.46 : x
  2. Step 2: Convert to fraction form
    233,150.65/349,725.97 = 154,246.46/x
  3. Step 3: Cross multiply
    233,150.65x = 349,725.97 × 154,246.46
  4. Step 4: Simplify right side
    233,150.65x = 53,943,991,286.74
  5. Step 5: Solve for x
    x = 53,943,991,286.74/233,150.65
  6. Step 6: Final answer
    x = 231,369.68

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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.