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Finding the Fourth Proportional to 196,062, 294,093 and 48,318

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Solution

The fourth proportional to 196,062, 294,093 and 48,318 is: 72,477

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,062 : 294,093 = 48,318 : x
  2. Step 2: Convert to fraction form
    196,062/294,093 = 48,318/x
  3. Step 3: Cross multiply
    196,062x = 294,093 × 48,318
  4. Step 4: Simplify right side
    196,062x = 14,209,985,574
  5. Step 5: Solve for x
    x = 14,209,985,574/196,062
  6. Step 6: Final answer
    x = 72,477

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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.