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Finding the Fourth Proportional to 164,968.68, 247,449.96 and 52,648

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Solution

The fourth proportional to 164,968.68, 247,449.96 and 52,648 is: 78,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,968.68 : 247,449.96 = 52,648 : x
  2. Step 2: Convert to fraction form
    164,968.68/247,449.96 = 52,648/x
  3. Step 3: Cross multiply
    164,968.68x = 247,449.96 × 52,648
  4. Step 4: Simplify right side
    164,968.68x = 13,027,745,494.08
  5. Step 5: Solve for x
    x = 13,027,745,494.08/164,968.68
  6. Step 6: Final answer
    x = 78,971.02

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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.