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Finding the Fourth Proportional to 196,056, 294,084 and 48,312

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Solution

The fourth proportional to 196,056, 294,084 and 48,312 is: 72,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,056 : 294,084 = 48,312 : x
  2. Step 2: Convert to fraction form
    196,056/294,084 = 48,312/x
  3. Step 3: Cross multiply
    196,056x = 294,084 × 48,312
  4. Step 4: Simplify right side
    196,056x = 14,207,786,208
  5. Step 5: Solve for x
    x = 14,207,786,208/196,056
  6. Step 6: Final answer
    x = 72,468

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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.