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Finding the Fourth Proportional to 260,994.26, 391,427.48 and 83,464.50

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Solution

The fourth proportional to 260,994.26, 391,427.48 and 83,464.50 is: 125,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,994.26 : 391,427.48 = 83,464.50 : x
  2. Step 2: Convert to fraction form
    260,994.26/391,427.48 = 83,464.50/x
  3. Step 3: Cross multiply
    260,994.26x = 391,427.48 × 83,464.50
  4. Step 4: Simplify right side
    260,994.26x = 32,670,298,904.46
  5. Step 5: Solve for x
    x = 32,670,298,904.46/260,994.26
  6. Step 6: Final answer
    x = 125,176.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.