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Finding the Fourth Proportional to 331,133.50, 456,965.10 and 187,893.16

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Solution

The fourth proportional to 331,133.50, 456,965.10 and 187,893.16 is: 259,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,133.50 : 456,965.10 = 187,893.16 : x
  2. Step 2: Convert to fraction form
    331,133.50/456,965.10 = 187,893.16/x
  3. Step 3: Cross multiply
    331,133.50x = 456,965.10 × 187,893.16
  4. Step 4: Simplify right side
    331,133.50x = 85,860,616,648.72
  5. Step 5: Solve for x
    x = 85,860,616,648.72/331,133.50
  6. Step 6: Final answer
    x = 259,293.05

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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.