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Finding the Fourth Proportional to 105,763.83, 158,694.17 and 45,810.64

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Solution

The fourth proportional to 105,763.83, 158,694.17 and 45,810.64 is: 68,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,763.83 : 158,694.17 = 45,810.64 : x
  2. Step 2: Convert to fraction form
    105,763.83/158,694.17 = 45,810.64/x
  3. Step 3: Cross multiply
    105,763.83x = 158,694.17 × 45,810.64
  4. Step 4: Simplify right side
    105,763.83x = 7,269,881,491.97
  5. Step 5: Solve for x
    x = 7,269,881,491.97/105,763.83
  6. Step 6: Final answer
    x = 68,736.93

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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.