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Finding the Fourth Proportional to 196,194, 294,293.77 and 55,952.63

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Solution

The fourth proportional to 196,194, 294,293.77 and 55,952.63 is: 83,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,194 : 294,293.77 = 55,952.63 : x
  2. Step 2: Convert to fraction form
    196,194/294,293.77 = 55,952.63/x
  3. Step 3: Cross multiply
    196,194x = 294,293.77 × 55,952.63
  4. Step 4: Simplify right side
    196,194x = 16,466,508,812.76
  5. Step 5: Solve for x
    x = 16,466,508,812.76/196,194
  6. Step 6: Final answer
    x = 83,929.73

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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.