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Finding the Fourth Proportional to 84,206.88, 116,206.92 and 45,968.40

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Solution

The fourth proportional to 84,206.88, 116,206.92 and 45,968.40 is: 63,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.88 : 116,206.92 = 45,968.40 : x
  2. Step 2: Convert to fraction form
    84,206.88/116,206.92 = 45,968.40/x
  3. Step 3: Cross multiply
    84,206.88x = 116,206.92 × 45,968.40
  4. Step 4: Simplify right side
    84,206.88x = 5,341,846,181.33
  5. Step 5: Solve for x
    x = 5,341,846,181.33/84,206.88
  6. Step 6: Final answer
    x = 63,437.17

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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.