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Finding the Fourth Proportional to 133,084.01, 183,653.53 and 75,722.09

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Solution

The fourth proportional to 133,084.01, 183,653.53 and 75,722.09 is: 104,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084.01 : 183,653.53 = 75,722.09 : x
  2. Step 2: Convert to fraction form
    133,084.01/183,653.53 = 75,722.09/x
  3. Step 3: Cross multiply
    133,084.01x = 183,653.53 × 75,722.09
  4. Step 4: Simplify right side
    133,084.01x = 13,906,629,052.96
  5. Step 5: Solve for x
    x = 13,906,629,052.96/133,084.01
  6. Step 6: Final answer
    x = 104,495.11

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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.