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Finding the Fourth Proportional to 99,441.16, 137,231.94 and 57,013

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Solution

The fourth proportional to 99,441.16, 137,231.94 and 57,013 is: 78,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,441.16 : 137,231.94 = 57,013 : x
  2. Step 2: Convert to fraction form
    99,441.16/137,231.94 = 57,013/x
  3. Step 3: Cross multiply
    99,441.16x = 137,231.94 × 57,013
  4. Step 4: Simplify right side
    99,441.16x = 7,824,004,595.22
  5. Step 5: Solve for x
    x = 7,824,004,595.22/99,441.16
  6. Step 6: Final answer
    x = 78,679.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.