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Finding the Fourth Proportional to 186,170.67, 256,915.80 and 101,287.73

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Solution

The fourth proportional to 186,170.67, 256,915.80 and 101,287.73 is: 139,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,170.67 : 256,915.80 = 101,287.73 : x
  2. Step 2: Convert to fraction form
    186,170.67/256,915.80 = 101,287.73/x
  3. Step 3: Cross multiply
    186,170.67x = 256,915.80 × 101,287.73
  4. Step 4: Simplify right side
    186,170.67x = 26,022,418,825.42
  5. Step 5: Solve for x
    x = 26,022,418,825.42/186,170.67
  6. Step 6: Final answer
    x = 139,777.22

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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.