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Finding the Fourth Proportional to 133,169.25, 183,778.97 and 76,580.63

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Solution

The fourth proportional to 133,169.25, 183,778.97 and 76,580.63 is: 105,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,169.25 : 183,778.97 = 76,580.63 : x
  2. Step 2: Convert to fraction form
    133,169.25/183,778.97 = 76,580.63/x
  3. Step 3: Cross multiply
    133,169.25x = 183,778.97 × 76,580.63
  4. Step 4: Simplify right side
    133,169.25x = 14,073,909,303.35
  5. Step 5: Solve for x
    x = 14,073,909,303.35/133,169.25
  6. Step 6: Final answer
    x = 105,684.38

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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.