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Finding the Fourth Proportional to 184,443.20, 276,664.80 and 164,614.40

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Solution

The fourth proportional to 184,443.20, 276,664.80 and 164,614.40 is: 246,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,443.20 : 276,664.80 = 164,614.40 : x
  2. Step 2: Convert to fraction form
    184,443.20/276,664.80 = 164,614.40/x
  3. Step 3: Cross multiply
    184,443.20x = 276,664.80 × 164,614.40
  4. Step 4: Simplify right side
    184,443.20x = 45,543,010,053.12
  5. Step 5: Solve for x
    x = 45,543,010,053.12/184,443.20
  6. Step 6: Final answer
    x = 246,921.60

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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.