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Finding the Fourth Proportional to 133,103.69, 199,536.53 and 48,844.29

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Solution

The fourth proportional to 133,103.69, 199,536.53 and 48,844.29 is: 73,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,103.69 : 199,536.53 = 48,844.29 : x
  2. Step 2: Convert to fraction form
    133,103.69/199,536.53 = 48,844.29/x
  3. Step 3: Cross multiply
    133,103.69x = 199,536.53 × 48,844.29
  4. Step 4: Simplify right side
    133,103.69x = 9,746,219,892.69
  5. Step 5: Solve for x
    x = 9,746,219,892.69/133,103.69
  6. Step 6: Final answer
    x = 73,222.77

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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.