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Finding the Fourth Proportional to 164,332.64, 246,498.98 and 53,524.64

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Solution

The fourth proportional to 164,332.64, 246,498.98 and 53,524.64 is: 80,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,332.64 : 246,498.98 = 53,524.64 : x
  2. Step 2: Convert to fraction form
    164,332.64/246,498.98 = 53,524.64/x
  3. Step 3: Cross multiply
    164,332.64x = 246,498.98 × 53,524.64
  4. Step 4: Simplify right side
    164,332.64x = 13,193,769,164.87
  5. Step 5: Solve for x
    x = 13,193,769,164.87/164,332.64
  6. Step 6: Final answer
    x = 80,286.97

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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.