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Finding the Fourth Proportional to 260,134, 390,021.72 and 102,380.56

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Solution

The fourth proportional to 260,134, 390,021.72 and 102,380.56 is: 153,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,134 : 390,021.72 = 102,380.56 : x
  2. Step 2: Convert to fraction form
    260,134/390,021.72 = 102,380.56/x
  3. Step 3: Cross multiply
    260,134x = 390,021.72 × 102,380.56
  4. Step 4: Simplify right side
    260,134x = 39,930,642,105.76
  5. Step 5: Solve for x
    x = 39,930,642,105.76/260,134
  6. Step 6: Final answer
    x = 153,500.28

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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.