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Finding the Fourth Proportional to 186,005.78, 278,836.54 and 67,645.34

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Solution

The fourth proportional to 186,005.78, 278,836.54 and 67,645.34 is: 101,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,005.78 : 278,836.54 = 67,645.34 : x
  2. Step 2: Convert to fraction form
    186,005.78/278,836.54 = 67,645.34/x
  3. Step 3: Cross multiply
    186,005.78x = 278,836.54 × 67,645.34
  4. Step 4: Simplify right side
    186,005.78x = 18,861,992,552.72
  5. Step 5: Solve for x
    x = 18,861,992,552.72/186,005.78
  6. Step 6: Final answer
    x = 101,405.41

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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.