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Finding the Fourth Proportional to 218,534.60, 327,812.70 and 113,558.60

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Solution

The fourth proportional to 218,534.60, 327,812.70 and 113,558.60 is: 170,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,534.60 : 327,812.70 = 113,558.60 : x
  2. Step 2: Convert to fraction form
    218,534.60/327,812.70 = 113,558.60/x
  3. Step 3: Cross multiply
    218,534.60x = 327,812.70 × 113,558.60
  4. Step 4: Simplify right side
    218,534.60x = 37,225,951,274.22
  5. Step 5: Solve for x
    x = 37,225,951,274.22/218,534.60
  6. Step 6: Final answer
    x = 170,343.51

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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.