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Finding the Fourth Proportional to 260,041.40, 390,353.70 and 201,138.20

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Solution

The fourth proportional to 260,041.40, 390,353.70 and 201,138.20 is: 301,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,041.40 : 390,353.70 = 201,138.20 : x
  2. Step 2: Convert to fraction form
    260,041.40/390,353.70 = 201,138.20/x
  3. Step 3: Cross multiply
    260,041.40x = 390,353.70 × 201,138.20
  4. Step 4: Simplify right side
    260,041.40x = 78,515,040,581.34
  5. Step 5: Solve for x
    x = 78,515,040,581.34/260,041.40
  6. Step 6: Final answer
    x = 301,932.85

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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.