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Finding the Fourth Proportional to 301,195.59, 451,792.67 and 166,253.19

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Solution

The fourth proportional to 301,195.59, 451,792.67 and 166,253.19 is: 249,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,195.59 : 451,792.67 = 166,253.19 : x
  2. Step 2: Convert to fraction form
    301,195.59/451,792.67 = 166,253.19/x
  3. Step 3: Cross multiply
    301,195.59x = 451,792.67 × 166,253.19
  4. Step 4: Simplify right side
    301,195.59x = 75,111,971,774.85
  5. Step 5: Solve for x
    x = 75,111,971,774.85/301,195.59
  6. Step 6: Final answer
    x = 249,379.39

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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.