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Finding the Fourth Proportional to 203,599.92, 305,477.64 and 114,953.52

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Solution

The fourth proportional to 203,599.92, 305,477.64 and 114,953.52 is: 172,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,599.92 : 305,477.64 = 114,953.52 : x
  2. Step 2: Convert to fraction form
    203,599.92/305,477.64 = 114,953.52/x
  3. Step 3: Cross multiply
    203,599.92x = 305,477.64 × 114,953.52
  4. Step 4: Simplify right side
    203,599.92x = 35,115,729,999.29
  5. Step 5: Solve for x
    x = 35,115,729,999.29/203,599.92
  6. Step 6: Final answer
    x = 172,474.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.