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Finding the Fourth Proportional to 164,055.30, 246,103.46 and 64,202.59

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Solution

The fourth proportional to 164,055.30, 246,103.46 and 64,202.59 is: 96,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,055.30 : 246,103.46 = 64,202.59 : x
  2. Step 2: Convert to fraction form
    164,055.30/246,103.46 = 64,202.59/x
  3. Step 3: Cross multiply
    164,055.30x = 246,103.46 × 64,202.59
  4. Step 4: Simplify right side
    164,055.30x = 15,800,479,700.47
  5. Step 5: Solve for x
    x = 15,800,479,700.47/164,055.30
  6. Step 6: Final answer
    x = 96,311.92

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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.