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Finding the Fourth Proportional to 208,016.40, 311,909.40 and 89,667.60

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Solution

The fourth proportional to 208,016.40, 311,909.40 and 89,667.60 is: 134,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,016.40 : 311,909.40 = 89,667.60 : x
  2. Step 2: Convert to fraction form
    208,016.40/311,909.40 = 89,667.60/x
  3. Step 3: Cross multiply
    208,016.40x = 311,909.40 × 89,667.60
  4. Step 4: Simplify right side
    208,016.40x = 27,968,167,315.44
  5. Step 5: Solve for x
    x = 27,968,167,315.44/208,016.40
  6. Step 6: Final answer
    x = 134,451.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.