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Finding the Fourth Proportional to 260,466.50, 359,445.94 and 141,234.50

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Solution

The fourth proportional to 260,466.50, 359,445.94 and 141,234.50 is: 194,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,466.50 : 359,445.94 = 141,234.50 : x
  2. Step 2: Convert to fraction form
    260,466.50/359,445.94 = 141,234.50/x
  3. Step 3: Cross multiply
    260,466.50x = 359,445.94 × 141,234.50
  4. Step 4: Simplify right side
    260,466.50x = 50,766,167,612.93
  5. Step 5: Solve for x
    x = 50,766,167,612.93/260,466.50
  6. Step 6: Final answer
    x = 194,904.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.