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Finding the Fourth Proportional to 139,589.20, 209,383.80 and 56,483.20

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Solution

The fourth proportional to 139,589.20, 209,383.80 and 56,483.20 is: 84,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,589.20 : 209,383.80 = 56,483.20 : x
  2. Step 2: Convert to fraction form
    139,589.20/209,383.80 = 56,483.20/x
  3. Step 3: Cross multiply
    139,589.20x = 209,383.80 × 56,483.20
  4. Step 4: Simplify right side
    139,589.20x = 11,826,667,052.16
  5. Step 5: Solve for x
    x = 11,826,667,052.16/139,589.20
  6. Step 6: Final answer
    x = 84,724.80

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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.