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Finding the Fourth Proportional to 227,145.20, 340,459.40 and 138,202.64

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Solution

The fourth proportional to 227,145.20, 340,459.40 and 138,202.64 is: 207,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,145.20 : 340,459.40 = 138,202.64 : x
  2. Step 2: Convert to fraction form
    227,145.20/340,459.40 = 138,202.64/x
  3. Step 3: Cross multiply
    227,145.20x = 340,459.40 × 138,202.64
  4. Step 4: Simplify right side
    227,145.20x = 47,052,387,892.82
  5. Step 5: Solve for x
    x = 47,052,387,892.82/227,145.20
  6. Step 6: Final answer
    x = 207,146.74

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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.