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Finding the Fourth Proportional to 137,131.36, 189,258.80 and 76,705.36

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Solution

The fourth proportional to 137,131.36, 189,258.80 and 76,705.36 is: 105,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,131.36 : 189,258.80 = 76,705.36 : x
  2. Step 2: Convert to fraction form
    137,131.36/189,258.80 = 76,705.36/x
  3. Step 3: Cross multiply
    137,131.36x = 189,258.80 × 76,705.36
  4. Step 4: Simplify right side
    137,131.36x = 14,517,164,387.17
  5. Step 5: Solve for x
    x = 14,517,164,387.17/137,131.36
  6. Step 6: Final answer
    x = 105,863.20

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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.