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Finding the Fourth Proportional to 186,169, 256,914.36 and 101,286.68

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Solution

The fourth proportional to 186,169, 256,914.36 and 101,286.68 is: 139,776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,169 : 256,914.36 = 101,286.68 : x
  2. Step 2: Convert to fraction form
    186,169/256,914.36 = 101,286.68/x
  3. Step 3: Cross multiply
    186,169x = 256,914.36 × 101,286.68
  4. Step 4: Simplify right side
    186,169x = 26,022,002,568.72
  5. Step 5: Solve for x
    x = 26,022,002,568.72/186,169
  6. Step 6: Final answer
    x = 139,776.24

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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.