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Finding the Fourth Proportional to 133,638.40, 200,459.28 and 40,138.72

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Solution

The fourth proportional to 133,638.40, 200,459.28 and 40,138.72 is: 60,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,638.40 : 200,459.28 = 40,138.72 : x
  2. Step 2: Convert to fraction form
    133,638.40/200,459.28 = 40,138.72/x
  3. Step 3: Cross multiply
    133,638.40x = 200,459.28 × 40,138.72
  4. Step 4: Simplify right side
    133,638.40x = 8,046,178,911.32
  5. Step 5: Solve for x
    x = 8,046,178,911.32/133,638.40
  6. Step 6: Final answer
    x = 60,208.58

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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.