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Finding the Fourth Proportional to 204,905.34, 307,407.42 and 64,663.56

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Solution

The fourth proportional to 204,905.34, 307,407.42 and 64,663.56 is: 97,010.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,905.34 : 307,407.42 = 64,663.56 : x
  2. Step 2: Convert to fraction form
    204,905.34/307,407.42 = 64,663.56/x
  3. Step 3: Cross multiply
    204,905.34x = 307,407.42 × 64,663.56
  4. Step 4: Simplify right side
    204,905.34x = 19,878,058,147.62
  5. Step 5: Solve for x
    x = 19,878,058,147.62/204,905.34
  6. Step 6: Final answer
    x = 97,010.93

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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.