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Finding the Fourth Proportional to 224,567.87, 309,904.23 and 122,593.40

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Solution

The fourth proportional to 224,567.87, 309,904.23 and 122,593.40 is: 169,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,567.87 : 309,904.23 = 122,593.40 : x
  2. Step 2: Convert to fraction form
    224,567.87/309,904.23 = 122,593.40/x
  3. Step 3: Cross multiply
    224,567.87x = 309,904.23 × 122,593.40
  4. Step 4: Simplify right side
    224,567.87x = 37,992,213,230.08
  5. Step 5: Solve for x
    x = 37,992,213,230.08/224,567.87
  6. Step 6: Final answer
    x = 169,179.20

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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.