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Finding the Fourth Proportional to 214,230.80, 321,391.14 and 64,482.06

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Solution

The fourth proportional to 214,230.80, 321,391.14 and 64,482.06 is: 96,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,230.80 : 321,391.14 = 64,482.06 : x
  2. Step 2: Convert to fraction form
    214,230.80/321,391.14 = 64,482.06/x
  3. Step 3: Cross multiply
    214,230.80x = 321,391.14 × 64,482.06
  4. Step 4: Simplify right side
    214,230.80x = 20,723,962,772.95
  5. Step 5: Solve for x
    x = 20,723,962,772.95/214,230.80
  6. Step 6: Final answer
    x = 96,736.62

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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.