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Finding the Fourth Proportional to 97,833.80, 146,361.90 and 84,830.60

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Solution

The fourth proportional to 97,833.80, 146,361.90 and 84,830.60 is: 126,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,833.80 : 146,361.90 = 84,830.60 : x
  2. Step 2: Convert to fraction form
    97,833.80/146,361.90 = 84,830.60/x
  3. Step 3: Cross multiply
    97,833.80x = 146,361.90 × 84,830.60
  4. Step 4: Simplify right side
    97,833.80x = 12,415,967,794.14
  5. Step 5: Solve for x
    x = 12,415,967,794.14/97,833.80
  6. Step 6: Final answer
    x = 126,908.78

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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.