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Finding the Fourth Proportional to 110,090.30, 164,807.40 and 65,694.20

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Solution

The fourth proportional to 110,090.30, 164,807.40 and 65,694.20 is: 98,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,090.30 : 164,807.40 = 65,694.20 : x
  2. Step 2: Convert to fraction form
    110,090.30/164,807.40 = 65,694.20/x
  3. Step 3: Cross multiply
    110,090.30x = 164,807.40 × 65,694.20
  4. Step 4: Simplify right side
    110,090.30x = 10,826,890,297.08
  5. Step 5: Solve for x
    x = 10,826,890,297.08/110,090.30
  6. Step 6: Final answer
    x = 98,345.54

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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.