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Finding the Fourth Proportional to 109,649.22, 164,694.93 and 65,362.47

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Solution

The fourth proportional to 109,649.22, 164,694.93 and 65,362.47 is: 98,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,649.22 : 164,694.93 = 65,362.47 : x
  2. Step 2: Convert to fraction form
    109,649.22/164,694.93 = 65,362.47/x
  3. Step 3: Cross multiply
    109,649.22x = 164,694.93 × 65,362.47
  4. Step 4: Simplify right side
    109,649.22x = 10,764,867,421.28
  5. Step 5: Solve for x
    x = 10,764,867,421.28/109,649.22
  6. Step 6: Final answer
    x = 98,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.