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Finding the Fourth Proportional to 164,117.82, 246,078.30 and 75,260.01

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Solution

The fourth proportional to 164,117.82, 246,078.30 and 75,260.01 is: 112,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,117.82 : 246,078.30 = 75,260.01 : x
  2. Step 2: Convert to fraction form
    164,117.82/246,078.30 = 75,260.01/x
  3. Step 3: Cross multiply
    164,117.82x = 246,078.30 × 75,260.01
  4. Step 4: Simplify right side
    164,117.82x = 18,519,855,318.78
  5. Step 5: Solve for x
    x = 18,519,855,318.78/164,117.82
  6. Step 6: Final answer
    x = 112,844.88

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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.