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Finding the Fourth Proportional to 186,734.09, 257,691.86 and 106,161.64

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Solution

The fourth proportional to 186,734.09, 257,691.86 and 106,161.64 is: 146,502.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,734.09 : 257,691.86 = 106,161.64 : x
  2. Step 2: Convert to fraction form
    186,734.09/257,691.86 = 106,161.64/x
  3. Step 3: Cross multiply
    186,734.09x = 257,691.86 × 106,161.64
  4. Step 4: Simplify right side
    186,734.09x = 27,356,990,472.25
  5. Step 5: Solve for x
    x = 27,356,990,472.25/186,734.09
  6. Step 6: Final answer
    x = 146,502.39

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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.