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Finding the Fourth Proportional to 117,523.40, 176,314.26 and 55,121

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Solution

The fourth proportional to 117,523.40, 176,314.26 and 55,121 is: 82,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,523.40 : 176,314.26 = 55,121 : x
  2. Step 2: Convert to fraction form
    117,523.40/176,314.26 = 55,121/x
  3. Step 3: Cross multiply
    117,523.40x = 176,314.26 × 55,121
  4. Step 4: Simplify right side
    117,523.40x = 9,718,618,325.46
  5. Step 5: Solve for x
    x = 9,718,618,325.46/117,523.40
  6. Step 6: Final answer
    x = 82,695.18

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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.