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Finding the Fourth Proportional to 196,563.85, 294,671.16 and 76,592.98

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Solution

The fourth proportional to 196,563.85, 294,671.16 and 76,592.98 is: 114,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,563.85 : 294,671.16 = 76,592.98 : x
  2. Step 2: Convert to fraction form
    196,563.85/294,671.16 = 76,592.98/x
  3. Step 3: Cross multiply
    196,563.85x = 294,671.16 × 76,592.98
  4. Step 4: Simplify right side
    196,563.85x = 22,569,742,264.46
  5. Step 5: Solve for x
    x = 22,569,742,264.46/196,563.85
  6. Step 6: Final answer
    x = 114,821.43

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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.