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Finding the Fourth Proportional to 104,150.80, 143,728.32 and 56,404

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Solution

The fourth proportional to 104,150.80, 143,728.32 and 56,404 is: 77,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,150.80 : 143,728.32 = 56,404 : x
  2. Step 2: Convert to fraction form
    104,150.80/143,728.32 = 56,404/x
  3. Step 3: Cross multiply
    104,150.80x = 143,728.32 × 56,404
  4. Step 4: Simplify right side
    104,150.80x = 8,106,852,161.28
  5. Step 5: Solve for x
    x = 8,106,852,161.28/104,150.80
  6. Step 6: Final answer
    x = 77,837.64

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