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Finding the Fourth Proportional to 196,493.96, 294,494.34 and 84,041.96

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Solution

The fourth proportional to 196,493.96, 294,494.34 and 84,041.96 is: 125,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,493.96 : 294,494.34 = 84,041.96 : x
  2. Step 2: Convert to fraction form
    196,493.96/294,494.34 = 84,041.96/x
  3. Step 3: Cross multiply
    196,493.96x = 294,494.34 × 84,041.96
  4. Step 4: Simplify right side
    196,493.96x = 24,749,881,542.51
  5. Step 5: Solve for x
    x = 24,749,881,542.51/196,493.96
  6. Step 6: Final answer
    x = 125,957.47

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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.