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Finding the Fourth Proportional to 260,096.20, 390,144.30 and 102,272.20

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Solution

The fourth proportional to 260,096.20, 390,144.30 and 102,272.20 is: 153,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,096.20 : 390,144.30 = 102,272.20 : x
  2. Step 2: Convert to fraction form
    260,096.20/390,144.30 = 102,272.20/x
  3. Step 3: Cross multiply
    260,096.20x = 390,144.30 × 102,272.20
  4. Step 4: Simplify right side
    260,096.20x = 39,900,915,878.46
  5. Step 5: Solve for x
    x = 39,900,915,878.46/260,096.20
  6. Step 6: Final answer
    x = 153,408.30

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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.