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Finding the Fourth Proportional to 186,906.96, 257,932.44 and 102,025.80

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Solution

The fourth proportional to 186,906.96, 257,932.44 and 102,025.80 is: 140,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906.96 : 257,932.44 = 102,025.80 : x
  2. Step 2: Convert to fraction form
    186,906.96/257,932.44 = 102,025.80/x
  3. Step 3: Cross multiply
    186,906.96x = 257,932.44 × 102,025.80
  4. Step 4: Simplify right side
    186,906.96x = 26,315,763,536.95
  5. Step 5: Solve for x
    x = 26,315,763,536.95/186,906.96
  6. Step 6: Final answer
    x = 140,796.06

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1.5x scale

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.