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Finding the Fourth Proportional to 132,089.70, 198,146.43 and 37,321.05

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Solution

The fourth proportional to 132,089.70, 198,146.43 and 37,321.05 is: 55,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,089.70 : 198,146.43 = 37,321.05 : x
  2. Step 2: Convert to fraction form
    132,089.70/198,146.43 = 37,321.05/x
  3. Step 3: Cross multiply
    132,089.70x = 198,146.43 × 37,321.05
  4. Step 4: Simplify right side
    132,089.70x = 7,395,032,821.35
  5. Step 5: Solve for x
    x = 7,395,032,821.35/132,089.70
  6. Step 6: Final answer
    x = 55,984.93

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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.