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Finding the Fourth Proportional to 100,998.52, 139,629.90 and 75,804.28

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Solution

The fourth proportional to 100,998.52, 139,629.90 and 75,804.28 is: 104,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998.52 : 139,629.90 = 75,804.28 : x
  2. Step 2: Convert to fraction form
    100,998.52/139,629.90 = 75,804.28/x
  3. Step 3: Cross multiply
    100,998.52x = 139,629.90 × 75,804.28
  4. Step 4: Simplify right side
    100,998.52x = 10,584,544,035.97
  5. Step 5: Solve for x
    x = 10,584,544,035.97/100,998.52
  6. Step 6: Final answer
    x = 104,799.00

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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.