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Finding the Fourth Proportional to 137,187.36, 189,348.12 and 83,489.64

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Solution

The fourth proportional to 137,187.36, 189,348.12 and 83,489.64 is: 115,233.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,187.36 : 189,348.12 = 83,489.64 : x
  2. Step 2: Convert to fraction form
    137,187.36/189,348.12 = 83,489.64/x
  3. Step 3: Cross multiply
    137,187.36x = 189,348.12 × 83,489.64
  4. Step 4: Simplify right side
    137,187.36x = 15,808,606,373.48
  5. Step 5: Solve for x
    x = 15,808,606,373.48/137,187.36
  6. Step 6: Final answer
    x = 115,233.69

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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.