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Finding the Fourth Proportional to 196,630, 294,946.10 and 48,886

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Solution

The fourth proportional to 196,630, 294,946.10 and 48,886 is: 73,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,630 : 294,946.10 = 48,886 : x
  2. Step 2: Convert to fraction form
    196,630/294,946.10 = 48,886/x
  3. Step 3: Cross multiply
    196,630x = 294,946.10 × 48,886
  4. Step 4: Simplify right side
    196,630x = 14,418,735,044.60
  5. Step 5: Solve for x
    x = 14,418,735,044.60/196,630
  6. Step 6: Final answer
    x = 73,329.27

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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.