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Finding the Fourth Proportional to 274,506.82, 411,793.45 and 96,977.50

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Solution

The fourth proportional to 274,506.82, 411,793.45 and 96,977.50 is: 145,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,506.82 : 411,793.45 = 96,977.50 : x
  2. Step 2: Convert to fraction form
    274,506.82/411,793.45 = 96,977.50/x
  3. Step 3: Cross multiply
    274,506.82x = 411,793.45 × 96,977.50
  4. Step 4: Simplify right side
    274,506.82x = 39,934,698,025.45
  5. Step 5: Solve for x
    x = 39,934,698,025.45/274,506.82
  6. Step 6: Final answer
    x = 145,477.98

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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.