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Finding the Fourth Proportional to 309,867.32, 464,647.48 and 110,157.77

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Solution

The fourth proportional to 309,867.32, 464,647.48 and 110,157.77 is: 165,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,867.32 : 464,647.48 = 110,157.77 : x
  2. Step 2: Convert to fraction form
    309,867.32/464,647.48 = 110,157.77/x
  3. Step 3: Cross multiply
    309,867.32x = 464,647.48 × 110,157.77
  4. Step 4: Simplify right side
    309,867.32x = 51,184,530,232.92
  5. Step 5: Solve for x
    x = 51,184,530,232.92/309,867.32
  6. Step 6: Final answer
    x = 165,182.09

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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.