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Finding the Fourth Proportional to 146,948.99, 202,806.59 and 83,298.38

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Solution

The fourth proportional to 146,948.99, 202,806.59 and 83,298.38 is: 114,961.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,948.99 : 202,806.59 = 83,298.38 : x
  2. Step 2: Convert to fraction form
    146,948.99/202,806.59 = 83,298.38/x
  3. Step 3: Cross multiply
    146,948.99x = 202,806.59 × 83,298.38
  4. Step 4: Simplify right side
    146,948.99x = 16,893,458,969.80
  5. Step 5: Solve for x
    x = 16,893,458,969.80/146,948.99
  6. Step 6: Final answer
    x = 114,961.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.