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Finding the Fourth Proportional to 133,795.68, 200,667.98 and 67,217.33

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Solution

The fourth proportional to 133,795.68, 200,667.98 and 67,217.33 is: 100,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,795.68 : 200,667.98 = 67,217.33 : x
  2. Step 2: Convert to fraction form
    133,795.68/200,667.98 = 67,217.33/x
  3. Step 3: Cross multiply
    133,795.68x = 200,667.98 × 67,217.33
  4. Step 4: Simplify right side
    133,795.68x = 13,488,364,492.67
  5. Step 5: Solve for x
    x = 13,488,364,492.67/133,795.68
  6. Step 6: Final answer
    x = 100,813.15

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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.