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Finding the Fourth Proportional to 270,823.92, 406,104.65 and 135,829.98

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Solution

The fourth proportional to 270,823.92, 406,104.65 and 135,829.98 is: 203,679.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,823.92 : 406,104.65 = 135,829.98 : x
  2. Step 2: Convert to fraction form
    270,823.92/406,104.65 = 135,829.98/x
  3. Step 3: Cross multiply
    270,823.92x = 406,104.65 × 135,829.98
  4. Step 4: Simplify right side
    270,823.92x = 55,161,186,317.62
  5. Step 5: Solve for x
    x = 55,161,186,317.62/270,823.92
  6. Step 6: Final answer
    x = 203,679.15

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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.