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Finding the Fourth Proportional to 164,346.12, 246,519.18 and 65,919.24

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Solution

The fourth proportional to 164,346.12, 246,519.18 and 65,919.24 is: 98,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,346.12 : 246,519.18 = 65,919.24 : x
  2. Step 2: Convert to fraction form
    164,346.12/246,519.18 = 65,919.24/x
  3. Step 3: Cross multiply
    164,346.12x = 246,519.18 × 65,919.24
  4. Step 4: Simplify right side
    164,346.12x = 16,250,356,991.02
  5. Step 5: Solve for x
    x = 16,250,356,991.02/164,346.12
  6. Step 6: Final answer
    x = 98,878.86

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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.