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Finding the Fourth Proportional to 233,007.89, 349,861.75 and 133,280.69

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Solution

The fourth proportional to 233,007.89, 349,861.75 and 133,280.69 is: 200,121.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,007.89 : 349,861.75 = 133,280.69 : x
  2. Step 2: Convert to fraction form
    233,007.89/349,861.75 = 133,280.69/x
  3. Step 3: Cross multiply
    233,007.89x = 349,861.75 × 133,280.69
  4. Step 4: Simplify right side
    233,007.89x = 46,629,813,362.10
  5. Step 5: Solve for x
    x = 46,629,813,362.10/233,007.89
  6. Step 6: Final answer
    x = 200,121.18

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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.