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Finding the Fourth Proportional to 203,643.46, 281,014.47 and 112,993.68

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Solution

The fourth proportional to 203,643.46, 281,014.47 and 112,993.68 is: 155,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,643.46 : 281,014.47 = 112,993.68 : x
  2. Step 2: Convert to fraction form
    203,643.46/281,014.47 = 112,993.68/x
  3. Step 3: Cross multiply
    203,643.46x = 281,014.47 × 112,993.68
  4. Step 4: Simplify right side
    203,643.46x = 31,752,859,098.55
  5. Step 5: Solve for x
    x = 31,752,859,098.55/203,643.46
  6. Step 6: Final answer
    x = 155,923.79

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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.