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Finding the Fourth Proportional to 196,588, 294,882 and 48,844

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Solution

The fourth proportional to 196,588, 294,882 and 48,844 is: 73,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,588 : 294,882 = 48,844 : x
  2. Step 2: Convert to fraction form
    196,588/294,882 = 48,844/x
  3. Step 3: Cross multiply
    196,588x = 294,882 × 48,844
  4. Step 4: Simplify right side
    196,588x = 14,403,216,408
  5. Step 5: Solve for x
    x = 14,403,216,408/196,588
  6. Step 6: Final answer
    x = 73,266

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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.