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Finding the Fourth Proportional to 204,795.72, 307,193.46 and 64,554.30

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Solution

The fourth proportional to 204,795.72, 307,193.46 and 64,554.30 is: 96,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,795.72 : 307,193.46 = 64,554.30 : x
  2. Step 2: Convert to fraction form
    204,795.72/307,193.46 = 64,554.30/x
  3. Step 3: Cross multiply
    204,795.72x = 307,193.46 × 64,554.30
  4. Step 4: Simplify right side
    204,795.72x = 19,830,658,774.88
  5. Step 5: Solve for x
    x = 19,830,658,774.88/204,795.72
  6. Step 6: Final answer
    x = 96,831.41

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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.