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Finding the Fourth Proportional to 267,916.20, 402,335.10 and 189,580.20

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Solution

The fourth proportional to 267,916.20, 402,335.10 and 189,580.20 is: 284,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,916.20 : 402,335.10 = 189,580.20 : x
  2. Step 2: Convert to fraction form
    267,916.20/402,335.10 = 189,580.20/x
  3. Step 3: Cross multiply
    267,916.20x = 402,335.10 × 189,580.20
  4. Step 4: Simplify right side
    267,916.20x = 76,274,768,725.02
  5. Step 5: Solve for x
    x = 76,274,768,725.02/267,916.20
  6. Step 6: Final answer
    x = 284,696.37

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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.