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Finding the Fourth Proportional to 233,838.48, 322,704.36 and 133,230

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Solution

The fourth proportional to 233,838.48, 322,704.36 and 133,230 is: 183,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,838.48 : 322,704.36 = 133,230 : x
  2. Step 2: Convert to fraction form
    233,838.48/322,704.36 = 133,230/x
  3. Step 3: Cross multiply
    233,838.48x = 322,704.36 × 133,230
  4. Step 4: Simplify right side
    233,838.48x = 42,993,901,882.80
  5. Step 5: Solve for x
    x = 42,993,901,882.80/233,838.48
  6. Step 6: Final answer
    x = 183,861.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.