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Finding the Fourth Proportional to 204,675.75, 307,024.56 and 64,445.31

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Solution

The fourth proportional to 204,675.75, 307,024.56 and 64,445.31 is: 96,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,675.75 : 307,024.56 = 64,445.31 : x
  2. Step 2: Convert to fraction form
    204,675.75/307,024.56 = 64,445.31/x
  3. Step 3: Cross multiply
    204,675.75x = 307,024.56 × 64,445.31
  4. Step 4: Simplify right side
    204,675.75x = 19,786,292,946.81
  5. Step 5: Solve for x
    x = 19,786,292,946.81/204,675.75
  6. Step 6: Final answer
    x = 96,671.41

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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.