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Finding the Fourth Proportional to 228,004.56, 342,081.72 and 109,660.32

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Solution

The fourth proportional to 228,004.56, 342,081.72 and 109,660.32 is: 164,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,004.56 : 342,081.72 = 109,660.32 : x
  2. Step 2: Convert to fraction form
    228,004.56/342,081.72 = 109,660.32/x
  3. Step 3: Cross multiply
    228,004.56x = 342,081.72 × 109,660.32
  4. Step 4: Simplify right side
    228,004.56x = 37,512,790,881.35
  5. Step 5: Solve for x
    x = 37,512,790,881.35/228,004.56
  6. Step 6: Final answer
    x = 164,526.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.