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Finding the Fourth Proportional to 224,367.90, 309,741.96 and 173,265.90

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Solution

The fourth proportional to 224,367.90, 309,741.96 and 173,265.90 is: 239,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,367.90 : 309,741.96 = 173,265.90 : x
  2. Step 2: Convert to fraction form
    224,367.90/309,741.96 = 173,265.90/x
  3. Step 3: Cross multiply
    224,367.90x = 309,741.96 × 173,265.90
  4. Step 4: Simplify right side
    224,367.90x = 53,667,719,467.16
  5. Step 5: Solve for x
    x = 53,667,719,467.16/224,367.90
  6. Step 6: Final answer
    x = 239,195.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.