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Finding the Fourth Proportional to 223,917.22, 309,004.41 and 123,314.50

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Solution

The fourth proportional to 223,917.22, 309,004.41 and 123,314.50 is: 170,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,917.22 : 309,004.41 = 123,314.50 : x
  2. Step 2: Convert to fraction form
    223,917.22/309,004.41 = 123,314.50/x
  3. Step 3: Cross multiply
    223,917.22x = 309,004.41 × 123,314.50
  4. Step 4: Simplify right side
    223,917.22x = 38,104,724,316.95
  5. Step 5: Solve for x
    x = 38,104,724,316.95/223,917.22
  6. Step 6: Final answer
    x = 170,173.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.