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Finding the Fourth Proportional to 186,904.69, 280,258.52 and 81,600.64

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Solution

The fourth proportional to 186,904.69, 280,258.52 and 81,600.64 is: 122,357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,904.69 : 280,258.52 = 81,600.64 : x
  2. Step 2: Convert to fraction form
    186,904.69/280,258.52 = 81,600.64/x
  3. Step 3: Cross multiply
    186,904.69x = 280,258.52 × 81,600.64
  4. Step 4: Simplify right side
    186,904.69x = 22,869,274,845.78
  5. Step 5: Solve for x
    x = 22,869,274,845.78/186,904.69
  6. Step 6: Final answer
    x = 122,357.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.