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Finding the Fourth Proportional to 137,260.68, 189,410.98 and 76,821.14

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Solution

The fourth proportional to 137,260.68, 189,410.98 and 76,821.14 is: 106,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,260.68 : 189,410.98 = 76,821.14 : x
  2. Step 2: Convert to fraction form
    137,260.68/189,410.98 = 76,821.14/x
  3. Step 3: Cross multiply
    137,260.68x = 189,410.98 × 76,821.14
  4. Step 4: Simplify right side
    137,260.68x = 14,550,767,412.12
  5. Step 5: Solve for x
    x = 14,550,767,412.12/137,260.68
  6. Step 6: Final answer
    x = 106,008.27

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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.