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Finding the Fourth Proportional to 84,200.56, 116,196.03 and 46,474

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Solution

The fourth proportional to 84,200.56, 116,196.03 and 46,474 is: 64,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200.56 : 116,196.03 = 46,474 : x
  2. Step 2: Convert to fraction form
    84,200.56/116,196.03 = 46,474/x
  3. Step 3: Cross multiply
    84,200.56x = 116,196.03 × 46,474
  4. Step 4: Simplify right side
    84,200.56x = 5,400,094,298.22
  5. Step 5: Solve for x
    x = 5,400,094,298.22/84,200.56
  6. Step 6: Final answer
    x = 64,133.71

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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.