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Finding the Fourth Proportional to 193,813.22, 290,696.69 and 51,669.15

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Solution

The fourth proportional to 193,813.22, 290,696.69 and 51,669.15 is: 77,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,813.22 : 290,696.69 = 51,669.15 : x
  2. Step 2: Convert to fraction form
    193,813.22/290,696.69 = 51,669.15/x
  3. Step 3: Cross multiply
    193,813.22x = 290,696.69 × 51,669.15
  4. Step 4: Simplify right side
    193,813.22x = 15,020,050,880.11
  5. Step 5: Solve for x
    x = 15,020,050,880.11/193,813.22
  6. Step 6: Final answer
    x = 77,497.56

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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.