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Finding the Fourth Proportional to 132,186, 182,415.24 and 71,758.80

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Solution

The fourth proportional to 132,186, 182,415.24 and 71,758.80 is: 99,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,186 : 182,415.24 = 71,758.80 : x
  2. Step 2: Convert to fraction form
    132,186/182,415.24 = 71,758.80/x
  3. Step 3: Cross multiply
    132,186x = 182,415.24 × 71,758.80
  4. Step 4: Simplify right side
    132,186x = 13,089,898,724.11
  5. Step 5: Solve for x
    x = 13,089,898,724.11/132,186
  6. Step 6: Final answer
    x = 99,026.36

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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.