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Finding the Fourth Proportional to 257,846.82, 355,874.07 and 162,383.46

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Solution

The fourth proportional to 257,846.82, 355,874.07 and 162,383.46 is: 224,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,846.82 : 355,874.07 = 162,383.46 : x
  2. Step 2: Convert to fraction form
    257,846.82/355,874.07 = 162,383.46/x
  3. Step 3: Cross multiply
    257,846.82x = 355,874.07 × 162,383.46
  4. Step 4: Simplify right side
    257,846.82x = 57,788,062,810.88
  5. Step 5: Solve for x
    x = 57,788,062,810.88/257,846.82
  6. Step 6: Final answer
    x = 224,117.80

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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.