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Finding the Fourth Proportional to 132,194.25, 182,428.11 and 75,605.67

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Solution

The fourth proportional to 132,194.25, 182,428.11 and 75,605.67 is: 104,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,194.25 : 182,428.11 = 75,605.67 : x
  2. Step 2: Convert to fraction form
    132,194.25/182,428.11 = 75,605.67/x
  3. Step 3: Cross multiply
    132,194.25x = 182,428.11 × 75,605.67
  4. Step 4: Simplify right side
    132,194.25x = 13,792,599,483.38
  5. Step 5: Solve for x
    x = 13,792,599,483.38/132,194.25
  6. Step 6: Final answer
    x = 104,335.85

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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.