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Finding the Fourth Proportional to 164,467, 246,739.50 and 53,659

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Solution

The fourth proportional to 164,467, 246,739.50 and 53,659 is: 80,501.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,467 : 246,739.50 = 53,659 : x
  2. Step 2: Convert to fraction form
    164,467/246,739.50 = 53,659/x
  3. Step 3: Cross multiply
    164,467x = 246,739.50 × 53,659
  4. Step 4: Simplify right side
    164,467x = 13,239,794,830.50
  5. Step 5: Solve for x
    x = 13,239,794,830.50/164,467
  6. Step 6: Final answer
    x = 80,501.22

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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.