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Finding the Fourth Proportional to 186,670.28, 257,610.30 and 101,792

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Solution

The fourth proportional to 186,670.28, 257,610.30 and 101,792 is: 140,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,670.28 : 257,610.30 = 101,792 : x
  2. Step 2: Convert to fraction form
    186,670.28/257,610.30 = 101,792/x
  3. Step 3: Cross multiply
    186,670.28x = 257,610.30 × 101,792
  4. Step 4: Simplify right side
    186,670.28x = 26,222,667,657.60
  5. Step 5: Solve for x
    x = 26,222,667,657.60/186,670.28
  6. Step 6: Final answer
    x = 140,475.86

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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.