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Finding the Fourth Proportional to 201,314, 302,069.41 and 142,527.44

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Solution

The fourth proportional to 201,314, 302,069.41 and 142,527.44 is: 213,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314 : 302,069.41 = 142,527.44 : x
  2. Step 2: Convert to fraction form
    201,314/302,069.41 = 142,527.44/x
  3. Step 3: Cross multiply
    201,314x = 302,069.41 × 142,527.44
  4. Step 4: Simplify right side
    201,314x = 43,053,179,709.61
  5. Step 5: Solve for x
    x = 43,053,179,709.61/201,314
  6. Step 6: Final answer
    x = 213,860.83

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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.