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Finding the Fourth Proportional to 126,141.60, 189,475.65 and 106,458.60

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Solution

The fourth proportional to 126,141.60, 189,475.65 and 106,458.60 is: 159,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,141.60 : 189,475.65 = 106,458.60 : x
  2. Step 2: Convert to fraction form
    126,141.60/189,475.65 = 106,458.60/x
  3. Step 3: Cross multiply
    126,141.60x = 189,475.65 × 106,458.60
  4. Step 4: Simplify right side
    126,141.60x = 20,171,312,433.09
  5. Step 5: Solve for x
    x = 20,171,312,433.09/126,141.60
  6. Step 6: Final answer
    x = 159,910.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.