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Finding the Fourth Proportional to 194,466.15, 291,207.15 and 185,608.80

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Solution

The fourth proportional to 194,466.15, 291,207.15 and 185,608.80 is: 277,943.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,466.15 : 291,207.15 = 185,608.80 : x
  2. Step 2: Convert to fraction form
    194,466.15/291,207.15 = 185,608.80/x
  3. Step 3: Cross multiply
    194,466.15x = 291,207.15 × 185,608.80
  4. Step 4: Simplify right side
    194,466.15x = 54,050,609,662.92
  5. Step 5: Solve for x
    x = 54,050,609,662.92/194,466.15
  6. Step 6: Final answer
    x = 277,943.54

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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.