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Finding the Fourth Proportional to 197,988.48, 296,978.22 and 48,229.56

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Solution

The fourth proportional to 197,988.48, 296,978.22 and 48,229.56 is: 72,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,988.48 : 296,978.22 = 48,229.56 : x
  2. Step 2: Convert to fraction form
    197,988.48/296,978.22 = 48,229.56/x
  3. Step 3: Cross multiply
    197,988.48x = 296,978.22 × 48,229.56
  4. Step 4: Simplify right side
    197,988.48x = 14,323,128,880.18
  5. Step 5: Solve for x
    x = 14,323,128,880.18/197,988.48
  6. Step 6: Final answer
    x = 72,343.24

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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.