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Finding the Fourth Proportional to 142,697.97, 196,924.64 and 86,098.41

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Solution

The fourth proportional to 142,697.97, 196,924.64 and 86,098.41 is: 118,816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,697.97 : 196,924.64 = 86,098.41 : x
  2. Step 2: Convert to fraction form
    142,697.97/196,924.64 = 86,098.41/x
  3. Step 3: Cross multiply
    142,697.97x = 196,924.64 × 86,098.41
  4. Step 4: Simplify right side
    142,697.97x = 16,954,898,609.07
  5. Step 5: Solve for x
    x = 16,954,898,609.07/142,697.97
  6. Step 6: Final answer
    x = 118,816.68

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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.