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Finding the Fourth Proportional to 201,414.60, 302,219.10 and 142,122.60

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Solution

The fourth proportional to 201,414.60, 302,219.10 and 142,122.60 is: 213,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.60 : 302,219.10 = 142,122.60 : x
  2. Step 2: Convert to fraction form
    201,414.60/302,219.10 = 142,122.60/x
  3. Step 3: Cross multiply
    201,414.60x = 302,219.10 × 142,122.60
  4. Step 4: Simplify right side
    201,414.60x = 42,952,164,261.66
  5. Step 5: Solve for x
    x = 42,952,164,261.66/201,414.60
  6. Step 6: Final answer
    x = 213,252.49

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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.