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Finding the Fourth Proportional to 104,965.50, 144,847.16 and 59,637.50

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Solution

The fourth proportional to 104,965.50, 144,847.16 and 59,637.50 is: 82,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,965.50 : 144,847.16 = 59,637.50 : x
  2. Step 2: Convert to fraction form
    104,965.50/144,847.16 = 59,637.50/x
  3. Step 3: Cross multiply
    104,965.50x = 144,847.16 × 59,637.50
  4. Step 4: Simplify right side
    104,965.50x = 8,638,322,504.50
  5. Step 5: Solve for x
    x = 8,638,322,504.50/104,965.50
  6. Step 6: Final answer
    x = 82,296.78

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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.