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Finding the Fourth Proportional to 257,319.21, 355,059.17 and 161,758.25

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Solution

The fourth proportional to 257,319.21, 355,059.17 and 161,758.25 is: 223,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,319.21 : 355,059.17 = 161,758.25 : x
  2. Step 2: Convert to fraction form
    257,319.21/355,059.17 = 161,758.25/x
  3. Step 3: Cross multiply
    257,319.21x = 355,059.17 × 161,758.25
  4. Step 4: Simplify right side
    257,319.21x = 57,433,749,946.22
  5. Step 5: Solve for x
    x = 57,433,749,946.22/257,319.21
  6. Step 6: Final answer
    x = 223,200.39

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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.