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Finding the Fourth Proportional to 137,523.40, 189,799.56 and 83,825.24

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Solution

The fourth proportional to 137,523.40, 189,799.56 and 83,825.24 is: 115,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,523.40 : 189,799.56 = 83,825.24 : x
  2. Step 2: Convert to fraction form
    137,523.40/189,799.56 = 83,825.24/x
  3. Step 3: Cross multiply
    137,523.40x = 189,799.56 × 83,825.24
  4. Step 4: Simplify right side
    137,523.40x = 15,909,993,668.89
  5. Step 5: Solve for x
    x = 15,909,993,668.89/137,523.40
  6. Step 6: Final answer
    x = 115,689.36

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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.