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Finding the Fourth Proportional to 132,142.69, 198,212.29 and 32,303.76

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Solution

The fourth proportional to 132,142.69, 198,212.29 and 32,303.76 is: 48,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,142.69 : 198,212.29 = 32,303.76 : x
  2. Step 2: Convert to fraction form
    132,142.69/198,212.29 = 32,303.76/x
  3. Step 3: Cross multiply
    132,142.69x = 198,212.29 × 32,303.76
  4. Step 4: Simplify right side
    132,142.69x = 6,403,002,245.21
  5. Step 5: Solve for x
    x = 6,403,002,245.21/132,142.69
  6. Step 6: Final answer
    x = 48,455.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.