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Finding the Fourth Proportional to 128,617.57, 177,393.18 and 77,577.09

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Solution

The fourth proportional to 128,617.57, 177,393.18 and 77,577.09 is: 106,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,617.57 : 177,393.18 = 77,577.09 : x
  2. Step 2: Convert to fraction form
    128,617.57/177,393.18 = 77,577.09/x
  3. Step 3: Cross multiply
    128,617.57x = 177,393.18 × 77,577.09
  4. Step 4: Simplify right side
    128,617.57x = 13,761,645,734.11
  5. Step 5: Solve for x
    x = 13,761,645,734.11/128,617.57
  6. Step 6: Final answer
    x = 106,996.63

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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.