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Finding the Fourth Proportional to 116,311.64, 160,571.01 and 78,271.20

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Solution

The fourth proportional to 116,311.64, 160,571.01 and 78,271.20 is: 108,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,311.64 : 160,571.01 = 78,271.20 : x
  2. Step 2: Convert to fraction form
    116,311.64/160,571.01 = 78,271.20/x
  3. Step 3: Cross multiply
    116,311.64x = 160,571.01 × 78,271.20
  4. Step 4: Simplify right side
    116,311.64x = 12,568,085,637.91
  5. Step 5: Solve for x
    x = 12,568,085,637.91/116,311.64
  6. Step 6: Final answer
    x = 108,055.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.