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Finding the Fourth Proportional to 116,412.30, 160,640.10 and 65,415.39

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Solution

The fourth proportional to 116,412.30, 160,640.10 and 65,415.39 is: 90,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,412.30 : 160,640.10 = 65,415.39 : x
  2. Step 2: Convert to fraction form
    116,412.30/160,640.10 = 65,415.39/x
  3. Step 3: Cross multiply
    116,412.30x = 160,640.10 × 65,415.39
  4. Step 4: Simplify right side
    116,412.30x = 10,508,335,301.36
  5. Step 5: Solve for x
    x = 10,508,335,301.36/116,412.30
  6. Step 6: Final answer
    x = 90,268.25

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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.