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Finding the Fourth Proportional to 84,200.68, 116,189.58 and 53,932.60

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Solution

The fourth proportional to 84,200.68, 116,189.58 and 53,932.60 is: 74,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,200.68 : 116,189.58 = 53,932.60 : x
  2. Step 2: Convert to fraction form
    84,200.68/116,189.58 = 53,932.60/x
  3. Step 3: Cross multiply
    84,200.68x = 116,189.58 × 53,932.60
  4. Step 4: Simplify right side
    84,200.68x = 6,266,406,142.31
  5. Step 5: Solve for x
    x = 6,266,406,142.31/84,200.68
  6. Step 6: Final answer
    x = 74,422.27

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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.