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Finding the Fourth Proportional to 205,391.81, 308,126.60 and 94,583.81

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Solution

The fourth proportional to 205,391.81, 308,126.60 and 94,583.81 is: 141,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,391.81 : 308,126.60 = 94,583.81 : x
  2. Step 2: Convert to fraction form
    205,391.81/308,126.60 = 94,583.81/x
  3. Step 3: Cross multiply
    205,391.81x = 308,126.60 × 94,583.81
  4. Step 4: Simplify right side
    205,391.81x = 29,143,788,797.12
  5. Step 5: Solve for x
    x = 29,143,788,797.12/205,391.81
  6. Step 6: Final answer
    x = 141,893.62

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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.