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Finding the Fourth Proportional to 137,298.12, 189,471.87 and 76,868.88

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Solution

The fourth proportional to 137,298.12, 189,471.87 and 76,868.88 is: 106,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,298.12 : 189,471.87 = 76,868.88 : x
  2. Step 2: Convert to fraction form
    137,298.12/189,471.87 = 76,868.88/x
  3. Step 3: Cross multiply
    137,298.12x = 189,471.87 × 76,868.88
  4. Step 4: Simplify right side
    137,298.12x = 14,564,490,438.41
  5. Step 5: Solve for x
    x = 14,564,490,438.41/137,298.12
  6. Step 6: Final answer
    x = 106,079.31

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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.