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Finding the Fourth Proportional to 225,941.74, 311,802.75 and 123,965.30

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Solution

The fourth proportional to 225,941.74, 311,802.75 and 123,965.30 is: 171,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,941.74 : 311,802.75 = 123,965.30 : x
  2. Step 2: Convert to fraction form
    225,941.74/311,802.75 = 123,965.30/x
  3. Step 3: Cross multiply
    225,941.74x = 311,802.75 × 123,965.30
  4. Step 4: Simplify right side
    225,941.74x = 38,652,722,224.08
  5. Step 5: Solve for x
    x = 38,652,722,224.08/225,941.74
  6. Step 6: Final answer
    x = 171,073.85

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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.