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Finding the Fourth Proportional to 164,519, 246,778.52 and 53,711

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Solution

The fourth proportional to 164,519, 246,778.52 and 53,711 is: 80,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,519 : 246,778.52 = 53,711 : x
  2. Step 2: Convert to fraction form
    164,519/246,778.52 = 53,711/x
  3. Step 3: Cross multiply
    164,519x = 246,778.52 × 53,711
  4. Step 4: Simplify right side
    164,519x = 13,254,721,087.72
  5. Step 5: Solve for x
    x = 13,254,721,087.72/164,519
  6. Step 6: Final answer
    x = 80,566.51

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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.