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Finding the Fourth Proportional to 270,691.79, 405,782.33 and 93,074.59

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Solution

The fourth proportional to 270,691.79, 405,782.33 and 93,074.59 is: 139,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,691.79 : 405,782.33 = 93,074.59 : x
  2. Step 2: Convert to fraction form
    270,691.79/405,782.33 = 93,074.59/x
  3. Step 3: Cross multiply
    270,691.79x = 405,782.33 × 93,074.59
  4. Step 4: Simplify right side
    270,691.79x = 37,768,021,965.08
  5. Step 5: Solve for x
    x = 37,768,021,965.08/270,691.79
  6. Step 6: Final answer
    x = 139,524.08

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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.