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Finding the Fourth Proportional to 199,445.15, 299,223.10 and 110,760.94

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Solution

The fourth proportional to 199,445.15, 299,223.10 and 110,760.94 is: 166,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,445.15 : 299,223.10 = 110,760.94 : x
  2. Step 2: Convert to fraction form
    199,445.15/299,223.10 = 110,760.94/x
  3. Step 3: Cross multiply
    199,445.15x = 299,223.10 × 110,760.94
  4. Step 4: Simplify right side
    199,445.15x = 33,142,230,032.03
  5. Step 5: Solve for x
    x = 33,142,230,032.03/199,445.15
  6. Step 6: Final answer
    x = 166,172.15

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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.