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Finding the Fourth Proportional to 221,102.23, 305,233.24 and 130,485.71

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Solution

The fourth proportional to 221,102.23, 305,233.24 and 130,485.71 is: 180,136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,102.23 : 305,233.24 = 130,485.71 : x
  2. Step 2: Convert to fraction form
    221,102.23/305,233.24 = 130,485.71/x
  3. Step 3: Cross multiply
    221,102.23x = 305,233.24 × 130,485.71
  4. Step 4: Simplify right side
    221,102.23x = 39,828,576,037.00
  5. Step 5: Solve for x
    x = 39,828,576,037.00/221,102.23
  6. Step 6: Final answer
    x = 180,136.47

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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.