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Finding the Fourth Proportional to 116,009.44, 160,093.04 and 65,708.44

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Solution

The fourth proportional to 116,009.44, 160,093.04 and 65,708.44 is: 90,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,009.44 : 160,093.04 = 65,708.44 : x
  2. Step 2: Convert to fraction form
    116,009.44/160,093.04 = 65,708.44/x
  3. Step 3: Cross multiply
    116,009.44x = 160,093.04 × 65,708.44
  4. Step 4: Simplify right side
    116,009.44x = 10,519,463,184.48
  5. Step 5: Solve for x
    x = 10,519,463,184.48/116,009.44
  6. Step 6: Final answer
    x = 90,677.65

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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.