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Finding the Fourth Proportional to 218,847.80, 328,271.70 and 179,967.80

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Solution

The fourth proportional to 218,847.80, 328,271.70 and 179,967.80 is: 269,951.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,847.80 : 328,271.70 = 179,967.80 : x
  2. Step 2: Convert to fraction form
    218,847.80/328,271.70 = 179,967.80/x
  3. Step 3: Cross multiply
    218,847.80x = 328,271.70 × 179,967.80
  4. Step 4: Simplify right side
    218,847.80x = 59,078,335,651.26
  5. Step 5: Solve for x
    x = 59,078,335,651.26/218,847.80
  6. Step 6: Final answer
    x = 269,951.70

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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.