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Finding the Fourth Proportional to 260,771.46, 359,920.76 and 158,830.53

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Solution

The fourth proportional to 260,771.46, 359,920.76 and 158,830.53 is: 219,220.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,771.46 : 359,920.76 = 158,830.53 : x
  2. Step 2: Convert to fraction form
    260,771.46/359,920.76 = 158,830.53/x
  3. Step 3: Cross multiply
    260,771.46x = 359,920.76 × 158,830.53
  4. Step 4: Simplify right side
    260,771.46x = 57,166,405,068.80
  5. Step 5: Solve for x
    x = 57,166,405,068.80/260,771.46
  6. Step 6: Final answer
    x = 219,220.33

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