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Finding the Fourth Proportional to 231,055.64, 345,794.86 and 193,657.96

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Solution

The fourth proportional to 231,055.64, 345,794.86 and 193,657.96 is: 289,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,055.64 : 345,794.86 = 193,657.96 : x
  2. Step 2: Convert to fraction form
    231,055.64/345,794.86 = 193,657.96/x
  3. Step 3: Cross multiply
    231,055.64x = 345,794.86 × 193,657.96
  4. Step 4: Simplify right side
    231,055.64x = 66,965,927,166.09
  5. Step 5: Solve for x
    x = 66,965,927,166.09/231,055.64
  6. Step 6: Final answer
    x = 289,825.98

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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.