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Finding the Fourth Proportional to 204,814.60, 307,682.70 and 142,606.60

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Solution

The fourth proportional to 204,814.60, 307,682.70 and 142,606.60 is: 214,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814.60 : 307,682.70 = 142,606.60 : x
  2. Step 2: Convert to fraction form
    204,814.60/307,682.70 = 142,606.60/x
  3. Step 3: Cross multiply
    204,814.60x = 307,682.70 × 142,606.60
  4. Step 4: Simplify right side
    204,814.60x = 43,877,583,725.82
  5. Step 5: Solve for x
    x = 43,877,583,725.82/204,814.60
  6. Step 6: Final answer
    x = 214,230.74

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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.