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Finding the Fourth Proportional to 197,670.92, 296,365.44 and 92,432.48

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Solution

The fourth proportional to 197,670.92, 296,365.44 and 92,432.48 is: 138,582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,670.92 : 296,365.44 = 92,432.48 : x
  2. Step 2: Convert to fraction form
    197,670.92/296,365.44 = 92,432.48/x
  3. Step 3: Cross multiply
    197,670.92x = 296,365.44 × 92,432.48
  4. Step 4: Simplify right side
    197,670.92x = 27,393,791,402.42
  5. Step 5: Solve for x
    x = 27,393,791,402.42/197,670.92
  6. Step 6: Final answer
    x = 138,582.81

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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.