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Finding the Fourth Proportional to 133,225.54, 183,858.52 and 75,882.84

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Solution

The fourth proportional to 133,225.54, 183,858.52 and 75,882.84 is: 104,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,225.54 : 183,858.52 = 75,882.84 : x
  2. Step 2: Convert to fraction form
    133,225.54/183,858.52 = 75,882.84/x
  3. Step 3: Cross multiply
    133,225.54x = 183,858.52 × 75,882.84
  4. Step 4: Simplify right side
    133,225.54x = 13,951,706,655.80
  5. Step 5: Solve for x
    x = 13,951,706,655.80/133,225.54
  6. Step 6: Final answer
    x = 104,722.46

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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.