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Finding the Fourth Proportional to 160,409.47, 221,414.42 and 92,471.88

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Solution

The fourth proportional to 160,409.47, 221,414.42 and 92,471.88 is: 127,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.47 : 221,414.42 = 92,471.88 : x
  2. Step 2: Convert to fraction form
    160,409.47/221,414.42 = 92,471.88/x
  3. Step 3: Cross multiply
    160,409.47x = 221,414.42 × 92,471.88
  4. Step 4: Simplify right side
    160,409.47x = 20,474,607,214.15
  5. Step 5: Solve for x
    x = 20,474,607,214.15/160,409.47
  6. Step 6: Final answer
    x = 127,639.65

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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.