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Finding the Fourth Proportional to 274,212.19, 411,317.47 and 96,676.39

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Solution

The fourth proportional to 274,212.19, 411,317.47 and 96,676.39 is: 145,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,212.19 : 411,317.47 = 96,676.39 : x
  2. Step 2: Convert to fraction form
    274,212.19/411,317.47 = 96,676.39/x
  3. Step 3: Cross multiply
    274,212.19x = 411,317.47 × 96,676.39
  4. Step 4: Simplify right side
    274,212.19x = 39,764,688,143.53
  5. Step 5: Solve for x
    x = 39,764,688,143.53/274,212.19
  6. Step 6: Final answer
    x = 145,014.30

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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.