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Finding the Fourth Proportional to 274,899.60, 412,109.40 and 106,534.80

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Solution

The fourth proportional to 274,899.60, 412,109.40 and 106,534.80 is: 159,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,899.60 : 412,109.40 = 106,534.80 : x
  2. Step 2: Convert to fraction form
    274,899.60/412,109.40 = 106,534.80/x
  3. Step 3: Cross multiply
    274,899.60x = 412,109.40 × 106,534.80
  4. Step 4: Simplify right side
    274,899.60x = 43,903,992,507.12
  5. Step 5: Solve for x
    x = 43,903,992,507.12/274,899.60
  6. Step 6: Final answer
    x = 159,709.19

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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.