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Finding the Fourth Proportional to 132,924.78, 198,918.79 and 83,028.38

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Solution

The fourth proportional to 132,924.78, 198,918.79 and 83,028.38 is: 124,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,924.78 : 198,918.79 = 83,028.38 : x
  2. Step 2: Convert to fraction form
    132,924.78/198,918.79 = 83,028.38/x
  3. Step 3: Cross multiply
    132,924.78x = 198,918.79 × 83,028.38
  4. Step 4: Simplify right side
    132,924.78x = 16,515,903,683.10
  5. Step 5: Solve for x
    x = 16,515,903,683.10/132,924.78
  6. Step 6: Final answer
    x = 124,250.00

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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.