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Finding the Fourth Proportional to 133,094.89, 183,668.53 and 75,732.97

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Solution

The fourth proportional to 133,094.89, 183,668.53 and 75,732.97 is: 104,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,094.89 : 183,668.53 = 75,732.97 : x
  2. Step 2: Convert to fraction form
    133,094.89/183,668.53 = 75,732.97/x
  3. Step 3: Cross multiply
    133,094.89x = 183,668.53 × 75,732.97
  4. Step 4: Simplify right side
    133,094.89x = 13,909,763,272.43
  5. Step 5: Solve for x
    x = 13,909,763,272.43/133,094.89
  6. Step 6: Final answer
    x = 104,510.12

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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.