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Finding the Fourth Proportional to 164,222.08, 246,333.64 and 45,892.64

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Solution

The fourth proportional to 164,222.08, 246,333.64 and 45,892.64 is: 68,839.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222.08 : 246,333.64 = 45,892.64 : x
  2. Step 2: Convert to fraction form
    164,222.08/246,333.64 = 45,892.64/x
  3. Step 3: Cross multiply
    164,222.08x = 246,333.64 × 45,892.64
  4. Step 4: Simplify right side
    164,222.08x = 11,304,901,060.41
  5. Step 5: Solve for x
    x = 11,304,901,060.41/164,222.08
  6. Step 6: Final answer
    x = 68,839.11

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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.