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Finding the Fourth Proportional to 137,026.56, 189,086.18 and 83,304.12

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Solution

The fourth proportional to 137,026.56, 189,086.18 and 83,304.12 is: 114,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,026.56 : 189,086.18 = 83,304.12 : x
  2. Step 2: Convert to fraction form
    137,026.56/189,086.18 = 83,304.12/x
  3. Step 3: Cross multiply
    137,026.56x = 189,086.18 × 83,304.12
  4. Step 4: Simplify right side
    137,026.56x = 15,751,657,829.06
  5. Step 5: Solve for x
    x = 15,751,657,829.06/137,026.56
  6. Step 6: Final answer
    x = 114,953.32

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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.