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Finding the Fourth Proportional to 179,762.64, 269,678.64 and 68,946

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Solution

The fourth proportional to 179,762.64, 269,678.64 and 68,946 is: 103,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,762.64 : 269,678.64 = 68,946 : x
  2. Step 2: Convert to fraction form
    179,762.64/269,678.64 = 68,946/x
  3. Step 3: Cross multiply
    179,762.64x = 269,678.64 × 68,946
  4. Step 4: Simplify right side
    179,762.64x = 18,593,263,513.44
  5. Step 5: Solve for x
    x = 18,593,263,513.44/179,762.64
  6. Step 6: Final answer
    x = 103,432.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.