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Finding the Fourth Proportional to 257,499, 355,270.38 and 162,100.92

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Solution

The fourth proportional to 257,499, 355,270.38 and 162,100.92 is: 223,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,499 : 355,270.38 = 162,100.92 : x
  2. Step 2: Convert to fraction form
    257,499/355,270.38 = 162,100.92/x
  3. Step 3: Cross multiply
    257,499x = 355,270.38 × 162,100.92
  4. Step 4: Simplify right side
    257,499x = 57,589,655,446.75
  5. Step 5: Solve for x
    x = 57,589,655,446.75/257,499
  6. Step 6: Final answer
    x = 223,650.02

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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.