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Finding the Fourth Proportional to 189,062.01, 283,297.51 and 118,793.70

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Solution

The fourth proportional to 189,062.01, 283,297.51 and 118,793.70 is: 178,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062.01 : 283,297.51 = 118,793.70 : x
  2. Step 2: Convert to fraction form
    189,062.01/283,297.51 = 118,793.70/x
  3. Step 3: Cross multiply
    189,062.01x = 283,297.51 × 118,793.70
  4. Step 4: Simplify right side
    189,062.01x = 33,653,959,413.69
  5. Step 5: Solve for x
    x = 33,653,959,413.69/189,062.01
  6. Step 6: Final answer
    x = 178,004.87

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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.