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Finding the Fourth Proportional to 217,075.20, 325,612.80 and 198,412.80

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Solution

The fourth proportional to 217,075.20, 325,612.80 and 198,412.80 is: 297,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,075.20 : 325,612.80 = 198,412.80 : x
  2. Step 2: Convert to fraction form
    217,075.20/325,612.80 = 198,412.80/x
  3. Step 3: Cross multiply
    217,075.20x = 325,612.80 × 198,412.80
  4. Step 4: Simplify right side
    217,075.20x = 64,605,747,363.84
  5. Step 5: Solve for x
    x = 64,605,747,363.84/217,075.20
  6. Step 6: Final answer
    x = 297,619.20

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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.