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Finding the Fourth Proportional to 182,447.66, 273,488.42 and 75,686.42

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Solution

The fourth proportional to 182,447.66, 273,488.42 and 75,686.42 is: 113,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,447.66 : 273,488.42 = 75,686.42 : x
  2. Step 2: Convert to fraction form
    182,447.66/273,488.42 = 75,686.42/x
  3. Step 3: Cross multiply
    182,447.66x = 273,488.42 × 75,686.42
  4. Step 4: Simplify right side
    182,447.66x = 20,699,359,421.26
  5. Step 5: Solve for x
    x = 20,699,359,421.26/182,447.66
  6. Step 6: Final answer
    x = 113,453.69

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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.