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Finding the Fourth Proportional to 184,216.32, 276,329.16 and 137,764.08

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Solution

The fourth proportional to 184,216.32, 276,329.16 and 137,764.08 is: 206,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,216.32 : 276,329.16 = 137,764.08 : x
  2. Step 2: Convert to fraction form
    184,216.32/276,329.16 = 137,764.08/x
  3. Step 3: Cross multiply
    184,216.32x = 276,329.16 × 137,764.08
  4. Step 4: Simplify right side
    184,216.32x = 38,068,232,504.57
  5. Step 5: Solve for x
    x = 38,068,232,504.57/184,216.32
  6. Step 6: Final answer
    x = 206,649.62

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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.