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Finding the Fourth Proportional to 133,043.69, 199,459.58 and 76,820.02

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Solution

The fourth proportional to 133,043.69, 199,459.58 and 76,820.02 is: 115,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043.69 : 199,459.58 = 76,820.02 : x
  2. Step 2: Convert to fraction form
    133,043.69/199,459.58 = 76,820.02/x
  3. Step 3: Cross multiply
    133,043.69x = 199,459.58 × 76,820.02
  4. Step 4: Simplify right side
    133,043.69x = 15,322,488,924.79
  5. Step 5: Solve for x
    x = 15,322,488,924.79/133,043.69
  6. Step 6: Final answer
    x = 115,168.85

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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.