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Finding the Fourth Proportional to 137,255.45, 189,402.19 and 83,534.53

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Solution

The fourth proportional to 137,255.45, 189,402.19 and 83,534.53 is: 115,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,255.45 : 189,402.19 = 83,534.53 : x
  2. Step 2: Convert to fraction form
    137,255.45/189,402.19 = 83,534.53/x
  3. Step 3: Cross multiply
    137,255.45x = 189,402.19 × 83,534.53
  4. Step 4: Simplify right side
    137,255.45x = 15,821,622,922.62
  5. Step 5: Solve for x
    x = 15,821,622,922.62/137,255.45
  6. Step 6: Final answer
    x = 115,271.36

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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.