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Finding the Fourth Proportional to 274,313.15, 411,384.63 and 96,778.64

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Solution

The fourth proportional to 274,313.15, 411,384.63 and 96,778.64 is: 145,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,313.15 : 411,384.63 = 96,778.64 : x
  2. Step 2: Convert to fraction form
    274,313.15/411,384.63 = 96,778.64/x
  3. Step 3: Cross multiply
    274,313.15x = 411,384.63 × 96,778.64
  4. Step 4: Simplify right side
    274,313.15x = 39,813,243,979.84
  5. Step 5: Solve for x
    x = 39,813,243,979.84/274,313.15
  6. Step 6: Final answer
    x = 145,137.94

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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.