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Finding the Fourth Proportional to 132,165.38, 182,305.23 and 78,412.34

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Solution

The fourth proportional to 132,165.38, 182,305.23 and 78,412.34 is: 108,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,165.38 : 182,305.23 = 78,412.34 : x
  2. Step 2: Convert to fraction form
    132,165.38/182,305.23 = 78,412.34/x
  3. Step 3: Cross multiply
    132,165.38x = 182,305.23 × 78,412.34
  4. Step 4: Simplify right side
    132,165.38x = 14,294,978,767.01
  5. Step 5: Solve for x
    x = 14,294,978,767.01/132,165.38
  6. Step 6: Final answer
    x = 108,159.79

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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.