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Finding the Fourth Proportional to 133,823.60, 200,686.80 and 67,241.60

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Solution

The fourth proportional to 133,823.60, 200,686.80 and 67,241.60 is: 100,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,823.60 : 200,686.80 = 67,241.60 : x
  2. Step 2: Convert to fraction form
    133,823.60/200,686.80 = 67,241.60/x
  3. Step 3: Cross multiply
    133,823.60x = 200,686.80 × 67,241.60
  4. Step 4: Simplify right side
    133,823.60x = 13,494,501,530.88
  5. Step 5: Solve for x
    x = 13,494,501,530.88/133,823.60
  6. Step 6: Final answer
    x = 100,837.98

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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.