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Finding the Fourth Proportional to 154,515.54, 231,809.25 and 47,893.84

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Solution

The fourth proportional to 154,515.54, 231,809.25 and 47,893.84 is: 71,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,515.54 : 231,809.25 = 47,893.84 : x
  2. Step 2: Convert to fraction form
    154,515.54/231,809.25 = 47,893.84/x
  3. Step 3: Cross multiply
    154,515.54x = 231,809.25 × 47,893.84
  4. Step 4: Simplify right side
    154,515.54x = 11,102,233,731.50
  5. Step 5: Solve for x
    x = 11,102,233,731.50/154,515.54
  6. Step 6: Final answer
    x = 71,851.89

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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.