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Finding the Fourth Proportional to 195,393.38, 292,893.15 and 77,018.90

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Solution

The fourth proportional to 195,393.38, 292,893.15 and 77,018.90 is: 115,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,393.38 : 292,893.15 = 77,018.90 : x
  2. Step 2: Convert to fraction form
    195,393.38/292,893.15 = 77,018.90/x
  3. Step 3: Cross multiply
    195,393.38x = 292,893.15 × 77,018.90
  4. Step 4: Simplify right side
    195,393.38x = 22,558,308,230.54
  5. Step 5: Solve for x
    x = 22,558,308,230.54/195,393.38
  6. Step 6: Final answer
    x = 115,450.73

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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.