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Finding the Fourth Proportional to 186,906.12, 257,928.68 and 115,257.48

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Solution

The fourth proportional to 186,906.12, 257,928.68 and 115,257.48 is: 159,054.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,906.12 : 257,928.68 = 115,257.48 : x
  2. Step 2: Convert to fraction form
    186,906.12/257,928.68 = 115,257.48/x
  3. Step 3: Cross multiply
    186,906.12x = 257,928.68 × 115,257.48
  4. Step 4: Simplify right side
    186,906.12x = 29,728,209,676.53
  5. Step 5: Solve for x
    x = 29,728,209,676.53/186,906.12
  6. Step 6: Final answer
    x = 159,054.23

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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.