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Finding the Fourth Proportional to 160,409.53, 221,414.43 and 92,471.92

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Solution

The fourth proportional to 160,409.53, 221,414.43 and 92,471.92 is: 127,639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,409.53 : 221,414.43 = 92,471.92 : x
  2. Step 2: Convert to fraction form
    160,409.53/221,414.43 = 92,471.92/x
  3. Step 3: Cross multiply
    160,409.53x = 221,414.43 × 92,471.92
  4. Step 4: Simplify right side
    160,409.53x = 20,474,616,730.88
  5. Step 5: Solve for x
    x = 20,474,616,730.88/160,409.53
  6. Step 6: Final answer
    x = 127,639.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.