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Finding the Fourth Proportional to 198,598.77, 274,071.63 and 107,960.82

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Solution

The fourth proportional to 198,598.77, 274,071.63 and 107,960.82 is: 148,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,598.77 : 274,071.63 = 107,960.82 : x
  2. Step 2: Convert to fraction form
    198,598.77/274,071.63 = 107,960.82/x
  3. Step 3: Cross multiply
    198,598.77x = 274,071.63 × 107,960.82
  4. Step 4: Simplify right side
    198,598.77x = 29,588,997,913.54
  5. Step 5: Solve for x
    x = 29,588,997,913.54/198,598.77
  6. Step 6: Final answer
    x = 148,988.83

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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.