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Finding the Fourth Proportional to 117,524.40, 176,315.76 and 55,122

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Solution

The fourth proportional to 117,524.40, 176,315.76 and 55,122 is: 82,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,524.40 : 176,315.76 = 55,122 : x
  2. Step 2: Convert to fraction form
    117,524.40/176,315.76 = 55,122/x
  3. Step 3: Cross multiply
    117,524.40x = 176,315.76 × 55,122
  4. Step 4: Simplify right side
    117,524.40x = 9,718,877,322.72
  5. Step 5: Solve for x
    x = 9,718,877,322.72/117,524.40
  6. Step 6: Final answer
    x = 82,696.68

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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.