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Finding the Fourth Proportional to 164,152.62, 246,239.88 and 51,837.42

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Solution

The fourth proportional to 164,152.62, 246,239.88 and 51,837.42 is: 77,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,152.62 : 246,239.88 = 51,837.42 : x
  2. Step 2: Convert to fraction form
    164,152.62/246,239.88 = 51,837.42/x
  3. Step 3: Cross multiply
    164,152.62x = 246,239.88 × 51,837.42
  4. Step 4: Simplify right side
    164,152.62x = 12,764,440,080.31
  5. Step 5: Solve for x
    x = 12,764,440,080.31/164,152.62
  6. Step 6: Final answer
    x = 77,759.59

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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.