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Finding the Fourth Proportional to 117,882, 176,824.62 and 65,394

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Solution

The fourth proportional to 117,882, 176,824.62 and 65,394 is: 98,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,882 : 176,824.62 = 65,394 : x
  2. Step 2: Convert to fraction form
    117,882/176,824.62 = 65,394/x
  3. Step 3: Cross multiply
    117,882x = 176,824.62 × 65,394
  4. Step 4: Simplify right side
    117,882x = 11,563,269,200.28
  5. Step 5: Solve for x
    x = 11,563,269,200.28/117,882
  6. Step 6: Final answer
    x = 98,091.90

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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.