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Finding the Fourth Proportional to 251,702.84, 347,423.10 and 149,799.80

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Solution

The fourth proportional to 251,702.84, 347,423.10 and 149,799.80 is: 206,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,702.84 : 347,423.10 = 149,799.80 : x
  2. Step 2: Convert to fraction form
    251,702.84/347,423.10 = 149,799.80/x
  3. Step 3: Cross multiply
    251,702.84x = 347,423.10 × 149,799.80
  4. Step 4: Simplify right side
    251,702.84x = 52,043,910,895.38
  5. Step 5: Solve for x
    x = 52,043,910,895.38/251,702.84
  6. Step 6: Final answer
    x = 206,767.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.