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Finding the Fourth Proportional to 221,538.41, 305,709.54 and 130,872.68

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Solution

The fourth proportional to 221,538.41, 305,709.54 and 130,872.68 is: 180,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,538.41 : 305,709.54 = 130,872.68 : x
  2. Step 2: Convert to fraction form
    221,538.41/305,709.54 = 130,872.68/x
  3. Step 3: Cross multiply
    221,538.41x = 305,709.54 × 130,872.68
  4. Step 4: Simplify right side
    221,538.41x = 40,009,026,664.62
  5. Step 5: Solve for x
    x = 40,009,026,664.62/221,538.41
  6. Step 6: Final answer
    x = 180,596.34

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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.