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Finding the Fourth Proportional to 270,853.50, 406,318.04 and 113,045.82

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Solution

The fourth proportional to 270,853.50, 406,318.04 and 113,045.82 is: 169,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,853.50 : 406,318.04 = 113,045.82 : x
  2. Step 2: Convert to fraction form
    270,853.50/406,318.04 = 113,045.82/x
  3. Step 3: Cross multiply
    270,853.50x = 406,318.04 × 113,045.82
  4. Step 4: Simplify right side
    270,853.50x = 45,932,556,012.59
  5. Step 5: Solve for x
    x = 45,932,556,012.59/270,853.50
  6. Step 6: Final answer
    x = 169,584.50

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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.