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Finding the Fourth Proportional to 280,249.58, 420,362.61 and 130,438.34

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Solution

The fourth proportional to 280,249.58, 420,362.61 and 130,438.34 is: 195,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,249.58 : 420,362.61 = 130,438.34 : x
  2. Step 2: Convert to fraction form
    280,249.58/420,362.61 = 130,438.34/x
  3. Step 3: Cross multiply
    280,249.58x = 420,362.61 × 130,438.34
  4. Step 4: Simplify right side
    280,249.58x = 54,831,401,046.47
  5. Step 5: Solve for x
    x = 54,831,401,046.47/280,249.58
  6. Step 6: Final answer
    x = 195,652.04

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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.