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Finding the Fourth Proportional to 132,057, 182,238.96 and 75,468.24

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Solution

The fourth proportional to 132,057, 182,238.96 and 75,468.24 is: 104,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,057 : 182,238.96 = 75,468.24 : x
  2. Step 2: Convert to fraction form
    132,057/182,238.96 = 75,468.24/x
  3. Step 3: Cross multiply
    132,057x = 182,238.96 × 75,468.24
  4. Step 4: Simplify right side
    132,057x = 13,753,253,570.63
  5. Step 5: Solve for x
    x = 13,753,253,570.63/132,057
  6. Step 6: Final answer
    x = 104,146.34

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1.5x scale

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.