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Finding the Fourth Proportional to 186,198, 256,951.08 and 101,313.60

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Solution

The fourth proportional to 186,198, 256,951.08 and 101,313.60 is: 139,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,198 : 256,951.08 = 101,313.60 : x
  2. Step 2: Convert to fraction form
    186,198/256,951.08 = 101,313.60/x
  3. Step 3: Cross multiply
    186,198x = 256,951.08 × 101,313.60
  4. Step 4: Simplify right side
    186,198x = 26,032,638,938.69
  5. Step 5: Solve for x
    x = 26,032,638,938.69/186,198
  6. Step 6: Final answer
    x = 139,811.59

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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.