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Finding the Fourth Proportional to 308,087.80, 462,131.70 and 142,199.80

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Solution

The fourth proportional to 308,087.80, 462,131.70 and 142,199.80 is: 213,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,087.80 : 462,131.70 = 142,199.80 : x
  2. Step 2: Convert to fraction form
    308,087.80/462,131.70 = 142,199.80/x
  3. Step 3: Cross multiply
    308,087.80x = 462,131.70 × 142,199.80
  4. Step 4: Simplify right side
    308,087.80x = 65,715,035,313.66
  5. Step 5: Solve for x
    x = 65,715,035,313.66/308,087.80
  6. Step 6: Final answer
    x = 213,299.70

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1.5x scale

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.