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Finding the Fourth Proportional to 274,224.32, 411,294.75 and 105,720.05

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Solution

The fourth proportional to 274,224.32, 411,294.75 and 105,720.05 is: 158,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,224.32 : 411,294.75 = 105,720.05 : x
  2. Step 2: Convert to fraction form
    274,224.32/411,294.75 = 105,720.05/x
  3. Step 3: Cross multiply
    274,224.32x = 411,294.75 × 105,720.05
  4. Step 4: Simplify right side
    274,224.32x = 43,482,102,166.52
  5. Step 5: Solve for x
    x = 43,482,102,166.52/274,224.32
  6. Step 6: Final answer
    x = 158,563.99

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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.