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Finding the Fourth Proportional to 135,081.15, 186,412.56 and 73,828.59

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Solution

The fourth proportional to 135,081.15, 186,412.56 and 73,828.59 is: 101,883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,081.15 : 186,412.56 = 73,828.59 : x
  2. Step 2: Convert to fraction form
    135,081.15/186,412.56 = 73,828.59/x
  3. Step 3: Cross multiply
    135,081.15x = 186,412.56 × 73,828.59
  4. Step 4: Simplify right side
    135,081.15x = 13,762,576,463.09
  5. Step 5: Solve for x
    x = 13,762,576,463.09/135,081.15
  6. Step 6: Final answer
    x = 101,883.77

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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.