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Finding the Fourth Proportional to 203,992.50, 281,526.93 and 114,585.78

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Solution

The fourth proportional to 203,992.50, 281,526.93 and 114,585.78 is: 158,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,992.50 : 281,526.93 = 114,585.78 : x
  2. Step 2: Convert to fraction form
    203,992.50/281,526.93 = 114,585.78/x
  3. Step 3: Cross multiply
    203,992.50x = 281,526.93 × 114,585.78
  4. Step 4: Simplify right side
    203,992.50x = 32,258,982,865.06
  5. Step 5: Solve for x
    x = 32,258,982,865.06/203,992.50
  6. Step 6: Final answer
    x = 158,138.08

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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.