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Finding the Fourth Proportional to 101,195.28, 139,664.52 and 98,097.84

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Solution

The fourth proportional to 101,195.28, 139,664.52 and 98,097.84 is: 135,389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,195.28 : 139,664.52 = 98,097.84 : x
  2. Step 2: Convert to fraction form
    101,195.28/139,664.52 = 98,097.84/x
  3. Step 3: Cross multiply
    101,195.28x = 139,664.52 × 98,097.84
  4. Step 4: Simplify right side
    101,195.28x = 13,700,787,736.64
  5. Step 5: Solve for x
    x = 13,700,787,736.64/101,195.28
  6. Step 6: Final answer
    x = 135,389.59

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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.