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Finding the Fourth Proportional to 73,876.20, 110,814.30 and 65,419.80

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Solution

The fourth proportional to 73,876.20, 110,814.30 and 65,419.80 is: 98,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,876.20 : 110,814.30 = 65,419.80 : x
  2. Step 2: Convert to fraction form
    73,876.20/110,814.30 = 65,419.80/x
  3. Step 3: Cross multiply
    73,876.20x = 110,814.30 × 65,419.80
  4. Step 4: Simplify right side
    73,876.20x = 7,249,449,343.14
  5. Step 5: Solve for x
    x = 7,249,449,343.14/73,876.20
  6. Step 6: Final answer
    x = 98,129.70

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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.