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Finding the Fourth Proportional to 137,004.20, 205,527.90 and 43,519.40

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Solution

The fourth proportional to 137,004.20, 205,527.90 and 43,519.40 is: 65,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,004.20 : 205,527.90 = 43,519.40 : x
  2. Step 2: Convert to fraction form
    137,004.20/205,527.90 = 43,519.40/x
  3. Step 3: Cross multiply
    137,004.20x = 205,527.90 × 43,519.40
  4. Step 4: Simplify right side
    137,004.20x = 8,944,450,891.26
  5. Step 5: Solve for x
    x = 8,944,450,891.26/137,004.20
  6. Step 6: Final answer
    x = 65,285.96

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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.