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Finding the Fourth Proportional to 251,701.90, 377,462.94 and 83,191.12

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Solution

The fourth proportional to 251,701.90, 377,462.94 and 83,191.12 is: 124,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,701.90 : 377,462.94 = 83,191.12 : x
  2. Step 2: Convert to fraction form
    251,701.90/377,462.94 = 83,191.12/x
  3. Step 3: Cross multiply
    251,701.90x = 377,462.94 × 83,191.12
  4. Step 4: Simplify right side
    251,701.90x = 31,401,563,481.47
  5. Step 5: Solve for x
    x = 31,401,563,481.47/251,701.90
  6. Step 6: Final answer
    x = 124,756.96

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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.