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Finding the Fourth Proportional to 116,188.39, 160,343.16 and 65,204.24

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Solution

The fourth proportional to 116,188.39, 160,343.16 and 65,204.24 is: 89,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,188.39 : 160,343.16 = 65,204.24 : x
  2. Step 2: Convert to fraction form
    116,188.39/160,343.16 = 65,204.24/x
  3. Step 3: Cross multiply
    116,188.39x = 160,343.16 × 65,204.24
  4. Step 4: Simplify right side
    116,188.39x = 10,455,054,109.47
  5. Step 5: Solve for x
    x = 10,455,054,109.47/116,188.39
  6. Step 6: Final answer
    x = 89,983.64

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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.