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Finding the Fourth Proportional to 117,561.24, 176,977.44 and 107,098.50

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Solution

The fourth proportional to 117,561.24, 176,977.44 and 107,098.50 is: 161,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,561.24 : 176,977.44 = 107,098.50 : x
  2. Step 2: Convert to fraction form
    117,561.24/176,977.44 = 107,098.50/x
  3. Step 3: Cross multiply
    117,561.24x = 176,977.44 × 107,098.50
  4. Step 4: Simplify right side
    117,561.24x = 18,954,018,357.84
  5. Step 5: Solve for x
    x = 18,954,018,357.84/117,561.24
  6. Step 6: Final answer
    x = 161,226.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.