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Finding the Fourth Proportional to 117,893.77, 176,842.49 and 65,635.41

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Solution

The fourth proportional to 117,893.77, 176,842.49 and 65,635.41 is: 98,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,893.77 : 176,842.49 = 65,635.41 : x
  2. Step 2: Convert to fraction form
    117,893.77/176,842.49 = 65,635.41/x
  3. Step 3: Cross multiply
    117,893.77x = 176,842.49 × 65,635.41
  4. Step 4: Simplify right side
    117,893.77x = 11,607,129,336.57
  5. Step 5: Solve for x
    x = 11,607,129,336.57/117,893.77
  6. Step 6: Final answer
    x = 98,454.14

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Why These Related Problems?

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