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Finding the Fourth Proportional to 137,331.60, 189,535.86 and 76,905.60

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Solution

The fourth proportional to 137,331.60, 189,535.86 and 76,905.60 is: 106,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,331.60 : 189,535.86 = 76,905.60 : x
  2. Step 2: Convert to fraction form
    137,331.60/189,535.86 = 76,905.60/x
  3. Step 3: Cross multiply
    137,331.60x = 189,535.86 × 76,905.60
  4. Step 4: Simplify right side
    137,331.60x = 14,576,369,034.82
  5. Step 5: Solve for x
    x = 14,576,369,034.82/137,331.60
  6. Step 6: Final answer
    x = 106,139.95

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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.