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Finding the Fourth Proportional to 203,959.60, 281,458.40 and 116,746.88

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Solution

The fourth proportional to 203,959.60, 281,458.40 and 116,746.88 is: 161,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,959.60 : 281,458.40 = 116,746.88 : x
  2. Step 2: Convert to fraction form
    203,959.60/281,458.40 = 116,746.88/x
  3. Step 3: Cross multiply
    203,959.60x = 281,458.40 × 116,746.88
  4. Step 4: Simplify right side
    203,959.60x = 32,859,390,049.79
  5. Step 5: Solve for x
    x = 32,859,390,049.79/203,959.60
  6. Step 6: Final answer
    x = 161,107.35

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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.