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Finding the Fourth Proportional to 137,230.88, 189,386.96 and 76,800.29

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Solution

The fourth proportional to 137,230.88, 189,386.96 and 76,800.29 is: 105,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,230.88 : 189,386.96 = 76,800.29 : x
  2. Step 2: Convert to fraction form
    137,230.88/189,386.96 = 76,800.29/x
  3. Step 3: Cross multiply
    137,230.88x = 189,386.96 × 76,800.29
  4. Step 4: Simplify right side
    137,230.88x = 14,544,972,119.28
  5. Step 5: Solve for x
    x = 14,544,972,119.28/137,230.88
  6. Step 6: Final answer
    x = 105,989.06

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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.