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Finding the Fourth Proportional to 175,633.80, 263,450.70 and 140,641.80

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Solution

The fourth proportional to 175,633.80, 263,450.70 and 140,641.80 is: 210,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,633.80 : 263,450.70 = 140,641.80 : x
  2. Step 2: Convert to fraction form
    175,633.80/263,450.70 = 140,641.80/x
  3. Step 3: Cross multiply
    175,633.80x = 263,450.70 × 140,641.80
  4. Step 4: Simplify right side
    175,633.80x = 37,052,180,659.26
  5. Step 5: Solve for x
    x = 37,052,180,659.26/175,633.80
  6. Step 6: Final answer
    x = 210,962.70

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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.