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Finding the Fourth Proportional to 186,881.30, 257,896.62 and 102,003.80

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Solution

The fourth proportional to 186,881.30, 257,896.62 and 102,003.80 is: 140,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,881.30 : 257,896.62 = 102,003.80 : x
  2. Step 2: Convert to fraction form
    186,881.30/257,896.62 = 102,003.80/x
  3. Step 3: Cross multiply
    186,881.30x = 257,896.62 × 102,003.80
  4. Step 4: Simplify right side
    186,881.30x = 26,306,435,247.16
  5. Step 5: Solve for x
    x = 26,306,435,247.16/186,881.30
  6. Step 6: Final answer
    x = 140,765.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.