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Finding the Fourth Proportional to 260,549.20, 390,953.40 and 102,782.80

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Solution

The fourth proportional to 260,549.20, 390,953.40 and 102,782.80 is: 154,225.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,549.20 : 390,953.40 = 102,782.80 : x
  2. Step 2: Convert to fraction form
    260,549.20/390,953.40 = 102,782.80/x
  3. Step 3: Cross multiply
    260,549.20x = 390,953.40 × 102,782.80
  4. Step 4: Simplify right side
    260,549.20x = 40,183,285,121.52
  5. Step 5: Solve for x
    x = 40,183,285,121.52/260,549.20
  6. Step 6: Final answer
    x = 154,225.33

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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.