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Finding the Fourth Proportional to 132,042, 182,218.26 and 75,453.24

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Solution

The fourth proportional to 132,042, 182,218.26 and 75,453.24 is: 104,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,042 : 182,218.26 = 75,453.24 : x
  2. Step 2: Convert to fraction form
    132,042/182,218.26 = 75,453.24/x
  3. Step 3: Cross multiply
    132,042x = 182,218.26 × 75,453.24
  4. Step 4: Simplify right side
    132,042x = 13,748,958,104.16
  5. Step 5: Solve for x
    x = 13,748,958,104.16/132,042
  6. Step 6: Final answer
    x = 104,125.64

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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.