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Finding the Fourth Proportional to 274,322.20, 411,483.30 and 96,827.80

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Solution

The fourth proportional to 274,322.20, 411,483.30 and 96,827.80 is: 145,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,322.20 : 411,483.30 = 96,827.80 : x
  2. Step 2: Convert to fraction form
    274,322.20/411,483.30 = 96,827.80/x
  3. Step 3: Cross multiply
    274,322.20x = 411,483.30 × 96,827.80
  4. Step 4: Simplify right side
    274,322.20x = 39,843,022,675.74
  5. Step 5: Solve for x
    x = 39,843,022,675.74/274,322.20
  6. Step 6: Final answer
    x = 145,241.70

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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.