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Finding the Fourth Proportional to 257,071.99, 355,128.87 and 205,321.14

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Solution

The fourth proportional to 257,071.99, 355,128.87 and 205,321.14 is: 283,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,071.99 : 355,128.87 = 205,321.14 : x
  2. Step 2: Convert to fraction form
    257,071.99/355,128.87 = 205,321.14/x
  3. Step 3: Cross multiply
    257,071.99x = 355,128.87 × 205,321.14
  4. Step 4: Simplify right side
    257,071.99x = 72,915,465,626.60
  5. Step 5: Solve for x
    x = 72,915,465,626.60/257,071.99
  6. Step 6: Final answer
    x = 283,638.31

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