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Finding the Fourth Proportional to 198,259.93, 297,448.22 and 79,870.33

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Solution

The fourth proportional to 198,259.93, 297,448.22 and 79,870.33 is: 119,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,259.93 : 297,448.22 = 79,870.33 : x
  2. Step 2: Convert to fraction form
    198,259.93/297,448.22 = 79,870.33/x
  3. Step 3: Cross multiply
    198,259.93x = 297,448.22 × 79,870.33
  4. Step 4: Simplify right side
    198,259.93x = 23,757,287,489.31
  5. Step 5: Solve for x
    x = 23,757,287,489.31/198,259.93
  6. Step 6: Final answer
    x = 119,828.99

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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.