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Finding the Fourth Proportional to 204,809.60, 307,675.20 and 142,601.60

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Solution

The fourth proportional to 204,809.60, 307,675.20 and 142,601.60 is: 214,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,809.60 : 307,675.20 = 142,601.60 : x
  2. Step 2: Convert to fraction form
    204,809.60/307,675.20 = 142,601.60/x
  3. Step 3: Cross multiply
    204,809.60x = 307,675.20 × 142,601.60
  4. Step 4: Simplify right side
    204,809.60x = 43,874,975,800.32
  5. Step 5: Solve for x
    x = 43,874,975,800.32/204,809.60
  6. Step 6: Final answer
    x = 214,223.24

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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.