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Finding the Fourth Proportional to 204,807.60, 307,672.20 and 142,599.60

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Solution

The fourth proportional to 204,807.60, 307,672.20 and 142,599.60 is: 214,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,807.60 : 307,672.20 = 142,599.60 : x
  2. Step 2: Convert to fraction form
    204,807.60/307,672.20 = 142,599.60/x
  3. Step 3: Cross multiply
    204,807.60x = 307,672.20 × 142,599.60
  4. Step 4: Simplify right side
    204,807.60x = 43,873,932,651.12
  5. Step 5: Solve for x
    x = 43,873,932,651.12/204,807.60
  6. Step 6: Final answer
    x = 214,220.24

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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.