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Finding the Fourth Proportional to 221,260.65, 305,260.97 and 130,571.24

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Solution

The fourth proportional to 221,260.65, 305,260.97 and 130,571.24 is: 180,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,260.65 : 305,260.97 = 130,571.24 : x
  2. Step 2: Convert to fraction form
    221,260.65/305,260.97 = 130,571.24/x
  3. Step 3: Cross multiply
    221,260.65x = 305,260.97 × 130,571.24
  4. Step 4: Simplify right side
    221,260.65x = 39,858,301,197.34
  5. Step 5: Solve for x
    x = 39,858,301,197.34/221,260.65
  6. Step 6: Final answer
    x = 180,141.84

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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.