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Finding the Fourth Proportional to 198,665.63, 274,149.65 and 112,623.38

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Solution

The fourth proportional to 198,665.63, 274,149.65 and 112,623.38 is: 155,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,665.63 : 274,149.65 = 112,623.38 : x
  2. Step 2: Convert to fraction form
    198,665.63/274,149.65 = 112,623.38/x
  3. Step 3: Cross multiply
    198,665.63x = 274,149.65 × 112,623.38
  4. Step 4: Simplify right side
    198,665.63x = 30,875,658,274.95
  5. Step 5: Solve for x
    x = 30,875,658,274.95/198,665.63
  6. Step 6: Final answer
    x = 155,415.20

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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.