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Finding the Fourth Proportional to 195,045.81, 292,592.16 and 68,659.81

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Solution

The fourth proportional to 195,045.81, 292,592.16 and 68,659.81 is: 102,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,045.81 : 292,592.16 = 68,659.81 : x
  2. Step 2: Convert to fraction form
    195,045.81/292,592.16 = 68,659.81/x
  3. Step 3: Cross multiply
    195,045.81x = 292,592.16 × 68,659.81
  4. Step 4: Simplify right side
    195,045.81x = 20,089,322,113.09
  5. Step 5: Solve for x
    x = 20,089,322,113.09/195,045.81
  6. Step 6: Final answer
    x = 102,997.97

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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.