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Finding the Fourth Proportional to 203,686.50, 281,087.37 and 114,262.50

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Solution

The fourth proportional to 203,686.50, 281,087.37 and 114,262.50 is: 157,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,686.50 : 281,087.37 = 114,262.50 : x
  2. Step 2: Convert to fraction form
    203,686.50/281,087.37 = 114,262.50/x
  3. Step 3: Cross multiply
    203,686.50x = 281,087.37 × 114,262.50
  4. Step 4: Simplify right side
    203,686.50x = 32,117,745,614.63
  5. Step 5: Solve for x
    x = 32,117,745,614.63/203,686.50
  6. Step 6: Final answer
    x = 157,682.25

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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.