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Finding the Fourth Proportional to 194,805.70, 292,208.55 and 111,861.70

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Solution

The fourth proportional to 194,805.70, 292,208.55 and 111,861.70 is: 167,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.70 : 292,208.55 = 111,861.70 : x
  2. Step 2: Convert to fraction form
    194,805.70/292,208.55 = 111,861.70/x
  3. Step 3: Cross multiply
    194,805.70x = 292,208.55 × 111,861.70
  4. Step 4: Simplify right side
    194,805.70x = 32,686,945,157.54
  5. Step 5: Solve for x
    x = 32,686,945,157.54/194,805.70
  6. Step 6: Final answer
    x = 167,792.55

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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.