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Finding the Fourth Proportional to 137,164.08, 189,282.08 and 76,735.78

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Solution

The fourth proportional to 137,164.08, 189,282.08 and 76,735.78 is: 105,892.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,164.08 : 189,282.08 = 76,735.78 : x
  2. Step 2: Convert to fraction form
    137,164.08/189,282.08 = 76,735.78/x
  3. Step 3: Cross multiply
    137,164.08x = 189,282.08 × 76,735.78
  4. Step 4: Simplify right side
    137,164.08x = 14,524,708,048.82
  5. Step 5: Solve for x
    x = 14,524,708,048.82/137,164.08
  6. Step 6: Final answer
    x = 105,892.94

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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.