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Finding the Fourth Proportional to 203,857.34, 281,322.02 and 111,978.42

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Solution

The fourth proportional to 203,857.34, 281,322.02 and 111,978.42 is: 154,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,857.34 : 281,322.02 = 111,978.42 : x
  2. Step 2: Convert to fraction form
    203,857.34/281,322.02 = 111,978.42/x
  3. Step 3: Cross multiply
    203,857.34x = 281,322.02 × 111,978.42
  4. Step 4: Simplify right side
    203,857.34x = 31,501,994,750.92
  5. Step 5: Solve for x
    x = 31,501,994,750.92/203,857.34
  6. Step 6: Final answer
    x = 154,529.61

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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.