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Finding the Fourth Proportional to 137,139.06, 189,269.40 and 76,713.06

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Solution

The fourth proportional to 137,139.06, 189,269.40 and 76,713.06 is: 105,873.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,139.06 : 189,269.40 = 76,713.06 : x
  2. Step 2: Convert to fraction form
    137,139.06/189,269.40 = 76,713.06/x
  3. Step 3: Cross multiply
    137,139.06x = 189,269.40 × 76,713.06
  4. Step 4: Simplify right side
    137,139.06x = 14,519,434,838.36
  5. Step 5: Solve for x
    x = 14,519,434,838.36/137,139.06
  6. Step 6: Final answer
    x = 105,873.81

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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.