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Finding the Fourth Proportional to 274,420.66, 411,394.40 and 106,059.10

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Solution

The fourth proportional to 274,420.66, 411,394.40 and 106,059.10 is: 158,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,420.66 : 411,394.40 = 106,059.10 : x
  2. Step 2: Convert to fraction form
    274,420.66/411,394.40 = 106,059.10/x
  3. Step 3: Cross multiply
    274,420.66x = 411,394.40 × 106,059.10
  4. Step 4: Simplify right side
    274,420.66x = 43,632,119,809.04
  5. Step 5: Solve for x
    x = 43,632,119,809.04/274,420.66
  6. Step 6: Final answer
    x = 158,997.21

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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.