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Finding the Fourth Proportional to 205,094.43, 307,663.11 and 55,335.96

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Solution

The fourth proportional to 205,094.43, 307,663.11 and 55,335.96 is: 83,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,094.43 : 307,663.11 = 55,335.96 : x
  2. Step 2: Convert to fraction form
    205,094.43/307,663.11 = 55,335.96/x
  3. Step 3: Cross multiply
    205,094.43x = 307,663.11 × 55,335.96
  4. Step 4: Simplify right side
    205,094.43x = 17,024,833,548.44
  5. Step 5: Solve for x
    x = 17,024,833,548.44/205,094.43
  6. Step 6: Final answer
    x = 83,009.73

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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.