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Finding the Fourth Proportional to 251,302.85, 377,000.98 and 82,834.98

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Solution

The fourth proportional to 251,302.85, 377,000.98 and 82,834.98 is: 124,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,302.85 : 377,000.98 = 82,834.98 : x
  2. Step 2: Convert to fraction form
    251,302.85/377,000.98 = 82,834.98/x
  3. Step 3: Cross multiply
    251,302.85x = 377,000.98 × 82,834.98
  4. Step 4: Simplify right side
    251,302.85x = 31,228,868,543.70
  5. Step 5: Solve for x
    x = 31,228,868,543.70/251,302.85
  6. Step 6: Final answer
    x = 124,267.86

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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.