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Finding the Fourth Proportional to 543,137.90, 814,702.80 and 164,057.90

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Solution

The fourth proportional to 543,137.90, 814,702.80 and 164,057.90 is: 246,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,137.90 : 814,702.80 = 164,057.90 : x
  2. Step 2: Convert to fraction form
    543,137.90/814,702.80 = 164,057.90/x
  3. Step 3: Cross multiply
    543,137.90x = 814,702.80 × 164,057.90
  4. Step 4: Simplify right side
    543,137.90x = 133,658,430,492.12
  5. Step 5: Solve for x
    x = 133,658,430,492.12/543,137.90
  6. Step 6: Final answer
    x = 246,085.63

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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.