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Finding the Fourth Proportional to 196,080, 294,120 and 48,336

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Solution

The fourth proportional to 196,080, 294,120 and 48,336 is: 72,504

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,080 : 294,120 = 48,336 : x
  2. Step 2: Convert to fraction form
    196,080/294,120 = 48,336/x
  3. Step 3: Cross multiply
    196,080x = 294,120 × 48,336
  4. Step 4: Simplify right side
    196,080x = 14,216,584,320
  5. Step 5: Solve for x
    x = 14,216,584,320/196,080
  6. Step 6: Final answer
    x = 72,504

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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.