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Finding the Fourth Proportional to 196,608.66, 271,323.81 and 107,184.66

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Solution

The fourth proportional to 196,608.66, 271,323.81 and 107,184.66 is: 147,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,608.66 : 271,323.81 = 107,184.66 : x
  2. Step 2: Convert to fraction form
    196,608.66/271,323.81 = 107,184.66/x
  3. Step 3: Cross multiply
    196,608.66x = 271,323.81 × 107,184.66
  4. Step 4: Simplify right side
    196,608.66x = 29,081,750,324.75
  5. Step 5: Solve for x
    x = 29,081,750,324.75/196,608.66
  6. Step 6: Final answer
    x = 147,916.93

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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.