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Finding the Fourth Proportional to 260,517.60, 390,601.20 and 102,664.80

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Solution

The fourth proportional to 260,517.60, 390,601.20 and 102,664.80 is: 153,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,517.60 : 390,601.20 = 102,664.80 : x
  2. Step 2: Convert to fraction form
    260,517.60/390,601.20 = 102,664.80/x
  3. Step 3: Cross multiply
    260,517.60x = 390,601.20 × 102,664.80
  4. Step 4: Simplify right side
    260,517.60x = 40,100,994,077.76
  5. Step 5: Solve for x
    x = 40,100,994,077.76/260,517.60
  6. Step 6: Final answer
    x = 153,928.16

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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.