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Finding the Fourth Proportional to 105,762.83, 158,692.67 and 45,809.64

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Solution

The fourth proportional to 105,762.83, 158,692.67 and 45,809.64 is: 68,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,762.83 : 158,692.67 = 45,809.64 : x
  2. Step 2: Convert to fraction form
    105,762.83/158,692.67 = 45,809.64/x
  3. Step 3: Cross multiply
    105,762.83x = 158,692.67 × 45,809.64
  4. Step 4: Simplify right side
    105,762.83x = 7,269,653,802.92
  5. Step 5: Solve for x
    x = 7,269,653,802.92/105,762.83
  6. Step 6: Final answer
    x = 68,735.43

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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.