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Finding the Fourth Proportional to 133,215.33, 183,828.33 and 75,860.50

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Solution

The fourth proportional to 133,215.33, 183,828.33 and 75,860.50 is: 104,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,215.33 : 183,828.33 = 75,860.50 : x
  2. Step 2: Convert to fraction form
    133,215.33/183,828.33 = 75,860.50/x
  3. Step 3: Cross multiply
    133,215.33x = 183,828.33 × 75,860.50
  4. Step 4: Simplify right side
    133,215.33x = 13,945,309,027.97
  5. Step 5: Solve for x
    x = 13,945,309,027.97/133,215.33
  6. Step 6: Final answer
    x = 104,682.46

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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.