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Finding the Fourth Proportional to 186,768.64, 278,696.26 and 166,639.76

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Solution

The fourth proportional to 186,768.64, 278,696.26 and 166,639.76 is: 248,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,768.64 : 278,696.26 = 166,639.76 : x
  2. Step 2: Convert to fraction form
    186,768.64/278,696.26 = 166,639.76/x
  3. Step 3: Cross multiply
    186,768.64x = 278,696.26 × 166,639.76
  4. Step 4: Simplify right side
    186,768.64x = 46,441,876,485.82
  5. Step 5: Solve for x
    x = 46,441,876,485.82/186,768.64
  6. Step 6: Final answer
    x = 248,659.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.