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Finding the Fourth Proportional to 189,593.60, 261,654.64 and 109,047.20

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Solution

The fourth proportional to 189,593.60, 261,654.64 and 109,047.20 is: 150,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,593.60 : 261,654.64 = 109,047.20 : x
  2. Step 2: Convert to fraction form
    189,593.60/261,654.64 = 109,047.20/x
  3. Step 3: Cross multiply
    189,593.60x = 261,654.64 × 109,047.20
  4. Step 4: Simplify right side
    189,593.60x = 28,532,705,859.01
  5. Step 5: Solve for x
    x = 28,532,705,859.01/189,593.60
  6. Step 6: Final answer
    x = 150,494.03

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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.