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Finding the Fourth Proportional to 137,294.36, 189,409.92 and 83,536.28

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Solution

The fourth proportional to 137,294.36, 189,409.92 and 83,536.28 is: 115,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,294.36 : 189,409.92 = 83,536.28 : x
  2. Step 2: Convert to fraction form
    137,294.36/189,409.92 = 83,536.28/x
  3. Step 3: Cross multiply
    137,294.36x = 189,409.92 × 83,536.28
  4. Step 4: Simplify right side
    137,294.36x = 15,822,600,111.90
  5. Step 5: Solve for x
    x = 15,822,600,111.90/137,294.36
  6. Step 6: Final answer
    x = 115,245.81

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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.