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Finding the Fourth Proportional to 196,524, 294,787.92 and 48,780

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Solution

The fourth proportional to 196,524, 294,787.92 and 48,780 is: 73,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,524 : 294,787.92 = 48,780 : x
  2. Step 2: Convert to fraction form
    196,524/294,787.92 = 48,780/x
  3. Step 3: Cross multiply
    196,524x = 294,787.92 × 48,780
  4. Step 4: Simplify right side
    196,524x = 14,379,754,737.60
  5. Step 5: Solve for x
    x = 14,379,754,737.60/196,524
  6. Step 6: Final answer
    x = 73,170.48

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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.