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Finding the Fourth Proportional to 154,515.60, 231,809.34 and 47,893.90

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Solution

The fourth proportional to 154,515.60, 231,809.34 and 47,893.90 is: 71,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,515.60 : 231,809.34 = 47,893.90 : x
  2. Step 2: Convert to fraction form
    154,515.60/231,809.34 = 47,893.90/x
  3. Step 3: Cross multiply
    154,515.60x = 231,809.34 × 47,893.90
  4. Step 4: Simplify right side
    154,515.60x = 11,102,252,769.50
  5. Step 5: Solve for x
    x = 11,102,252,769.50/154,515.60
  6. Step 6: Final answer
    x = 71,851.99

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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.