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Finding the Fourth Proportional to 100,662.84, 138,911.22 and 64,854.36

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Solution

The fourth proportional to 100,662.84, 138,911.22 and 64,854.36 is: 89,496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,662.84 : 138,911.22 = 64,854.36 : x
  2. Step 2: Convert to fraction form
    100,662.84/138,911.22 = 64,854.36/x
  3. Step 3: Cross multiply
    100,662.84x = 138,911.22 × 64,854.36
  4. Step 4: Simplify right side
    100,662.84x = 9,008,998,269.92
  5. Step 5: Solve for x
    x = 9,008,998,269.92/100,662.84
  6. Step 6: Final answer
    x = 89,496.76

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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.