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Finding the Fourth Proportional to 274,433.01, 411,485.49 and 105,813.51

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Solution

The fourth proportional to 274,433.01, 411,485.49 and 105,813.51 is: 158,657.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,433.01 : 411,485.49 = 105,813.51 : x
  2. Step 2: Convert to fraction form
    274,433.01/411,485.49 = 105,813.51/x
  3. Step 3: Cross multiply
    274,433.01x = 411,485.49 × 105,813.51
  4. Step 4: Simplify right side
    274,433.01x = 43,540,724,010.97
  5. Step 5: Solve for x
    x = 43,540,724,010.97/274,433.01
  6. Step 6: Final answer
    x = 158,657.02

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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.