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Finding the Fourth Proportional to 196,527, 294,792.42 and 48,783

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Solution

The fourth proportional to 196,527, 294,792.42 and 48,783 is: 73,174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,527 : 294,792.42 = 48,783 : x
  2. Step 2: Convert to fraction form
    196,527/294,792.42 = 48,783/x
  3. Step 3: Cross multiply
    196,527x = 294,792.42 × 48,783
  4. Step 4: Simplify right side
    196,527x = 14,380,858,624.86
  5. Step 5: Solve for x
    x = 14,380,858,624.86/196,527
  6. Step 6: Final answer
    x = 73,174.98

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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.