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Finding the Fourth Proportional to 260,207.36, 390,442.24 and 102,548.80

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Solution

The fourth proportional to 260,207.36, 390,442.24 and 102,548.80 is: 153,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,207.36 : 390,442.24 = 102,548.80 : x
  2. Step 2: Convert to fraction form
    260,207.36/390,442.24 = 102,548.80/x
  3. Step 3: Cross multiply
    260,207.36x = 390,442.24 × 102,548.80
  4. Step 4: Simplify right side
    260,207.36x = 40,039,383,181.31
  5. Step 5: Solve for x
    x = 40,039,383,181.31/260,207.36
  6. Step 6: Final answer
    x = 153,874.91

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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.