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Finding the Fourth Proportional to 201,350.80, 302,682.30 and 142,593.40

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Solution

The fourth proportional to 201,350.80, 302,682.30 and 142,593.40 is: 214,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350.80 : 302,682.30 = 142,593.40 : x
  2. Step 2: Convert to fraction form
    201,350.80/302,682.30 = 142,593.40/x
  3. Step 3: Cross multiply
    201,350.80x = 302,682.30 × 142,593.40
  4. Step 4: Simplify right side
    201,350.80x = 43,160,498,276.82
  5. Step 5: Solve for x
    x = 43,160,498,276.82/201,350.80
  6. Step 6: Final answer
    x = 214,354.74

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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.