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Finding the Fourth Proportional to 103,944.40, 155,883.76 and 65,967.14

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Solution

The fourth proportional to 103,944.40, 155,883.76 and 65,967.14 is: 98,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,944.40 : 155,883.76 = 65,967.14 : x
  2. Step 2: Convert to fraction form
    103,944.40/155,883.76 = 65,967.14/x
  3. Step 3: Cross multiply
    103,944.40x = 155,883.76 × 65,967.14
  4. Step 4: Simplify right side
    103,944.40x = 10,283,206,044.44
  5. Step 5: Solve for x
    x = 10,283,206,044.44/103,944.40
  6. Step 6: Final answer
    x = 98,929.87

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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.