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Finding the Fourth Proportional to 196,166, 294,249.72 and 48,422

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Solution

The fourth proportional to 196,166, 294,249.72 and 48,422 is: 72,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,166 : 294,249.72 = 48,422 : x
  2. Step 2: Convert to fraction form
    196,166/294,249.72 = 48,422/x
  3. Step 3: Cross multiply
    196,166x = 294,249.72 × 48,422
  4. Step 4: Simplify right side
    196,166x = 14,248,159,941.84
  5. Step 5: Solve for x
    x = 14,248,159,941.84/196,166
  6. Step 6: Final answer
    x = 72,633.18

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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.