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Finding the Fourth Proportional to 267,895.20, 402,303.60 and 189,559.20

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Solution

The fourth proportional to 267,895.20, 402,303.60 and 189,559.20 is: 284,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,895.20 : 402,303.60 = 189,559.20 : x
  2. Step 2: Convert to fraction form
    267,895.20/402,303.60 = 189,559.20/x
  3. Step 3: Cross multiply
    267,895.20x = 402,303.60 × 189,559.20
  4. Step 4: Simplify right side
    267,895.20x = 76,260,348,573.12
  5. Step 5: Solve for x
    x = 76,260,348,573.12/267,895.20
  6. Step 6: Final answer
    x = 284,664.86

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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.