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Finding the Fourth Proportional to 133,180, 183,788.40 and 73,567.84

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Solution

The fourth proportional to 133,180, 183,788.40 and 73,567.84 is: 101,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,180 : 183,788.40 = 73,567.84 : x
  2. Step 2: Convert to fraction form
    133,180/183,788.40 = 73,567.84/x
  3. Step 3: Cross multiply
    133,180x = 183,788.40 × 73,567.84
  4. Step 4: Simplify right side
    133,180x = 13,520,915,605.06
  5. Step 5: Solve for x
    x = 13,520,915,605.06/133,180
  6. Step 6: Final answer
    x = 101,523.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.