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Finding the Fourth Proportional to 104,164.92, 143,747.70 and 56,418.33

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Solution

The fourth proportional to 104,164.92, 143,747.70 and 56,418.33 is: 77,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,164.92 : 143,747.70 = 56,418.33 : x
  2. Step 2: Convert to fraction form
    104,164.92/143,747.70 = 56,418.33/x
  3. Step 3: Cross multiply
    104,164.92x = 143,747.70 × 56,418.33
  4. Step 4: Simplify right side
    104,164.92x = 8,110,005,175.34
  5. Step 5: Solve for x
    x = 8,110,005,175.34/104,164.92
  6. Step 6: Final answer
    x = 77,857.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.