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Finding the Fourth Proportional to 259,459.20, 389,318.40 and 147,225.60

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Solution

The fourth proportional to 259,459.20, 389,318.40 and 147,225.60 is: 220,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,459.20 : 389,318.40 = 147,225.60 : x
  2. Step 2: Convert to fraction form
    259,459.20/389,318.40 = 147,225.60/x
  3. Step 3: Cross multiply
    259,459.20x = 389,318.40 × 147,225.60
  4. Step 4: Simplify right side
    259,459.20x = 57,317,635,031.04
  5. Step 5: Solve for x
    x = 57,317,635,031.04/259,459.20
  6. Step 6: Final answer
    x = 220,911.94

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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.