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Finding the Fourth Proportional to 203,048.32, 280,215.84 and 113,624.32

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Solution

The fourth proportional to 203,048.32, 280,215.84 and 113,624.32 is: 156,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,048.32 : 280,215.84 = 113,624.32 : x
  2. Step 2: Convert to fraction form
    203,048.32/280,215.84 = 113,624.32/x
  3. Step 3: Cross multiply
    203,048.32x = 280,215.84 × 113,624.32
  4. Step 4: Simplify right side
    203,048.32x = 31,839,334,273.23
  5. Step 5: Solve for x
    x = 31,839,334,273.23/203,048.32
  6. Step 6: Final answer
    x = 156,806.69

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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.