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Finding the Fourth Proportional to 270,193.48, 405,298.48 and 92,698

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Solution

The fourth proportional to 270,193.48, 405,298.48 and 92,698 is: 139,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,193.48 : 405,298.48 = 92,698 : x
  2. Step 2: Convert to fraction form
    270,193.48/405,298.48 = 92,698/x
  3. Step 3: Cross multiply
    270,193.48x = 405,298.48 × 92,698
  4. Step 4: Simplify right side
    270,193.48x = 37,570,358,499.04
  5. Step 5: Solve for x
    x = 37,570,358,499.04/270,193.48
  6. Step 6: Final answer
    x = 139,049.83

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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.