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Finding the Fourth Proportional to 186,198.09, 256,914.17 and 121,761.78

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Solution

The fourth proportional to 186,198.09, 256,914.17 and 121,761.78 is: 168,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,198.09 : 256,914.17 = 121,761.78 : x
  2. Step 2: Convert to fraction form
    186,198.09/256,914.17 = 121,761.78/x
  3. Step 3: Cross multiply
    186,198.09x = 256,914.17 × 121,761.78
  4. Step 4: Simplify right side
    186,198.09x = 31,282,326,037.61
  5. Step 5: Solve for x
    x = 31,282,326,037.61/186,198.09
  6. Step 6: Final answer
    x = 168,005.62

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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.