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Finding the Fourth Proportional to 102,970.20, 154,469.70 and 43,805.40

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Solution

The fourth proportional to 102,970.20, 154,469.70 and 43,805.40 is: 65,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,970.20 : 154,469.70 = 43,805.40 : x
  2. Step 2: Convert to fraction form
    102,970.20/154,469.70 = 43,805.40/x
  3. Step 3: Cross multiply
    102,970.20x = 154,469.70 × 43,805.40
  4. Step 4: Simplify right side
    102,970.20x = 6,766,606,996.38
  5. Step 5: Solve for x
    x = 6,766,606,996.38/102,970.20
  6. Step 6: Final answer
    x = 65,714.23

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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.