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Finding the Fourth Proportional to 195,996.96, 293,762.16 and 112,716

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Solution

The fourth proportional to 195,996.96, 293,762.16 and 112,716 is: 168,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,996.96 : 293,762.16 = 112,716 : x
  2. Step 2: Convert to fraction form
    195,996.96/293,762.16 = 112,716/x
  3. Step 3: Cross multiply
    195,996.96x = 293,762.16 × 112,716
  4. Step 4: Simplify right side
    195,996.96x = 33,111,695,626.56
  5. Step 5: Solve for x
    x = 33,111,695,626.56/195,996.96
  6. Step 6: Final answer
    x = 168,939.84

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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.