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Finding the Fourth Proportional to 205,586, 306,720.45 and 183,147.38

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Solution

The fourth proportional to 205,586, 306,720.45 and 183,147.38 is: 273,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,586 : 306,720.45 = 183,147.38 : x
  2. Step 2: Convert to fraction form
    205,586/306,720.45 = 183,147.38/x
  3. Step 3: Cross multiply
    205,586x = 306,720.45 × 183,147.38
  4. Step 4: Simplify right side
    205,586x = 56,175,046,809.92
  5. Step 5: Solve for x
    x = 56,175,046,809.92/205,586
  6. Step 6: Final answer
    x = 273,243.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.