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Finding the Fourth Proportional to 199,859.24, 275,802.42 and 109,213.20

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Solution

The fourth proportional to 199,859.24, 275,802.42 and 109,213.20 is: 150,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,859.24 : 275,802.42 = 109,213.20 : x
  2. Step 2: Convert to fraction form
    199,859.24/275,802.42 = 109,213.20/x
  3. Step 3: Cross multiply
    199,859.24x = 275,802.42 × 109,213.20
  4. Step 4: Simplify right side
    199,859.24x = 30,121,264,855.94
  5. Step 5: Solve for x
    x = 30,121,264,855.94/199,859.24
  6. Step 6: Final answer
    x = 150,712.40

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