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Finding the Fourth Proportional to 164,173.64, 246,274.43 and 51,823.80

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Solution

The fourth proportional to 164,173.64, 246,274.43 and 51,823.80 is: 77,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,173.64 : 246,274.43 = 51,823.80 : x
  2. Step 2: Convert to fraction form
    164,173.64/246,274.43 = 51,823.80/x
  3. Step 3: Cross multiply
    164,173.64x = 246,274.43 × 51,823.80
  4. Step 4: Simplify right side
    164,173.64x = 12,762,876,546.32
  5. Step 5: Solve for x
    x = 12,762,876,546.32/164,173.64
  6. Step 6: Final answer
    x = 77,740.11

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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.