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Finding the Fourth Proportional to 133,841.67, 200,785.74 and 45,095.94

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Solution

The fourth proportional to 133,841.67, 200,785.74 and 45,095.94 is: 67,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,841.67 : 200,785.74 = 45,095.94 : x
  2. Step 2: Convert to fraction form
    133,841.67/200,785.74 = 45,095.94/x
  3. Step 3: Cross multiply
    133,841.67x = 200,785.74 × 45,095.94
  4. Step 4: Simplify right side
    133,841.67x = 9,054,621,514.79
  5. Step 5: Solve for x
    x = 9,054,621,514.79/133,841.67
  6. Step 6: Final answer
    x = 67,651.74

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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.