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Finding the Fourth Proportional to 224,445.76, 309,741.64 and 123,850.24

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Solution

The fourth proportional to 224,445.76, 309,741.64 and 123,850.24 is: 170,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,445.76 : 309,741.64 = 123,850.24 : x
  2. Step 2: Convert to fraction form
    224,445.76/309,741.64 = 123,850.24/x
  3. Step 3: Cross multiply
    224,445.76x = 309,741.64 × 123,850.24
  4. Step 4: Simplify right side
    224,445.76x = 38,361,576,451.99
  5. Step 5: Solve for x
    x = 38,361,576,451.99/224,445.76
  6. Step 6: Final answer
    x = 170,916.91

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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.