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Finding the Fourth Proportional to 196,168, 294,252.72 and 48,424

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Solution

The fourth proportional to 196,168, 294,252.72 and 48,424 is: 72,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,168 : 294,252.72 = 48,424 : x
  2. Step 2: Convert to fraction form
    196,168/294,252.72 = 48,424/x
  3. Step 3: Cross multiply
    196,168x = 294,252.72 × 48,424
  4. Step 4: Simplify right side
    196,168x = 14,248,893,713.28
  5. Step 5: Solve for x
    x = 14,248,893,713.28/196,168
  6. Step 6: Final answer
    x = 72,636.18

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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.