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Finding the Fourth Proportional to 197,057.86, 271,842.42 and 116,446.39

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Solution

The fourth proportional to 197,057.86, 271,842.42 and 116,446.39 is: 160,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,057.86 : 271,842.42 = 116,446.39 : x
  2. Step 2: Convert to fraction form
    197,057.86/271,842.42 = 116,446.39/x
  3. Step 3: Cross multiply
    197,057.86x = 271,842.42 × 116,446.39
  4. Step 4: Simplify right side
    197,057.86x = 31,655,068,457.86
  5. Step 5: Solve for x
    x = 31,655,068,457.86/197,057.86
  6. Step 6: Final answer
    x = 160,638.45

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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.