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Finding the Fourth Proportional to 117,184.16, 161,706.12 and 65,497.88

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Solution

The fourth proportional to 117,184.16, 161,706.12 and 65,497.88 is: 90,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,184.16 : 161,706.12 = 65,497.88 : x
  2. Step 2: Convert to fraction form
    117,184.16/161,706.12 = 65,497.88/x
  3. Step 3: Cross multiply
    117,184.16x = 161,706.12 × 65,497.88
  4. Step 4: Simplify right side
    117,184.16x = 10,591,408,043.03
  5. Step 5: Solve for x
    x = 10,591,408,043.03/117,184.16
  6. Step 6: Final answer
    x = 90,382.59

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Why These Related Problems?

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