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Finding the Fourth Proportional to 132,782.67, 183,234.35 and 75,421.80

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Solution

The fourth proportional to 132,782.67, 183,234.35 and 75,421.80 is: 104,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,782.67 : 183,234.35 = 75,421.80 : x
  2. Step 2: Convert to fraction form
    132,782.67/183,234.35 = 75,421.80/x
  3. Step 3: Cross multiply
    132,782.67x = 183,234.35 × 75,421.80
  4. Step 4: Simplify right side
    132,782.67x = 13,819,864,121.72
  5. Step 5: Solve for x
    x = 13,819,864,121.72/132,782.67
  6. Step 6: Final answer
    x = 104,078.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.