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Finding the Fourth Proportional to 133,043.60, 199,565.40 and 120,796.40

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Solution

The fourth proportional to 133,043.60, 199,565.40 and 120,796.40 is: 181,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043.60 : 199,565.40 = 120,796.40 : x
  2. Step 2: Convert to fraction form
    133,043.60/199,565.40 = 120,796.40/x
  3. Step 3: Cross multiply
    133,043.60x = 199,565.40 × 120,796.40
  4. Step 4: Simplify right side
    133,043.60x = 24,106,781,884.56
  5. Step 5: Solve for x
    x = 24,106,781,884.56/133,043.60
  6. Step 6: Final answer
    x = 181,194.60

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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.