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Finding the Fourth Proportional to 185,659.85, 278,240.31 and 101,293.58

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Solution

The fourth proportional to 185,659.85, 278,240.31 and 101,293.58 is: 151,804.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,659.85 : 278,240.31 = 101,293.58 : x
  2. Step 2: Convert to fraction form
    185,659.85/278,240.31 = 101,293.58/x
  3. Step 3: Cross multiply
    185,659.85x = 278,240.31 × 101,293.58
  4. Step 4: Simplify right side
    185,659.85x = 28,183,957,795.81
  5. Step 5: Solve for x
    x = 28,183,957,795.81/185,659.85
  6. Step 6: Final answer
    x = 151,804.27

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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.