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Finding the Fourth Proportional to 227,770.10, 341,962.95 and 133,097.30

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Solution

The fourth proportional to 227,770.10, 341,962.95 and 133,097.30 is: 199,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,770.10 : 341,962.95 = 133,097.30 : x
  2. Step 2: Convert to fraction form
    227,770.10/341,962.95 = 133,097.30/x
  3. Step 3: Cross multiply
    227,770.10x = 341,962.95 × 133,097.30
  4. Step 4: Simplify right side
    227,770.10x = 45,514,345,345.04
  5. Step 5: Solve for x
    x = 45,514,345,345.04/227,770.10
  6. Step 6: Final answer
    x = 199,825.81

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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.