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Finding the Fourth Proportional to 257,906.50, 386,862.23 and 77,993.34

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Solution

The fourth proportional to 257,906.50, 386,862.23 and 77,993.34 is: 116,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906.50 : 386,862.23 = 77,993.34 : x
  2. Step 2: Convert to fraction form
    257,906.50/386,862.23 = 77,993.34/x
  3. Step 3: Cross multiply
    257,906.50x = 386,862.23 × 77,993.34
  4. Step 4: Simplify right side
    257,906.50x = 30,172,677,437.55
  5. Step 5: Solve for x
    x = 30,172,677,437.55/257,906.50
  6. Step 6: Final answer
    x = 116,990.76

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1.5x scale

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.