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Finding the Fourth Proportional to 260,123.40, 389,969.10 and 110,478.60

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Solution

The fourth proportional to 260,123.40, 389,969.10 and 110,478.60 is: 165,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,123.40 : 389,969.10 = 110,478.60 : x
  2. Step 2: Convert to fraction form
    260,123.40/389,969.10 = 110,478.60/x
  3. Step 3: Cross multiply
    260,123.40x = 389,969.10 × 110,478.60
  4. Step 4: Simplify right side
    260,123.40x = 43,083,240,211.26
  5. Step 5: Solve for x
    x = 43,083,240,211.26/260,123.40
  6. Step 6: Final answer
    x = 165,626.16

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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.