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Finding the Fourth Proportional to 186,447.70, 257,285.70 and 109,949.26

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Solution

The fourth proportional to 186,447.70, 257,285.70 and 109,949.26 is: 151,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,447.70 : 257,285.70 = 109,949.26 : x
  2. Step 2: Convert to fraction form
    186,447.70/257,285.70 = 109,949.26/x
  3. Step 3: Cross multiply
    186,447.70x = 257,285.70 × 109,949.26
  4. Step 4: Simplify right side
    186,447.70x = 28,288,372,323.58
  5. Step 5: Solve for x
    x = 28,288,372,323.58/186,447.70
  6. Step 6: Final answer
    x = 151,722.83

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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.