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Finding the Fourth Proportional to 228,704.92, 343,054.86 and 88,365.16

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Solution

The fourth proportional to 228,704.92, 343,054.86 and 88,365.16 is: 132,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,704.92 : 343,054.86 = 88,365.16 : x
  2. Step 2: Convert to fraction form
    228,704.92/343,054.86 = 88,365.16/x
  3. Step 3: Cross multiply
    228,704.92x = 343,054.86 × 88,365.16
  4. Step 4: Simplify right side
    228,704.92x = 30,314,097,592.68
  5. Step 5: Solve for x
    x = 30,314,097,592.68/228,704.92
  6. Step 6: Final answer
    x = 132,546.77

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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.