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Finding the Fourth Proportional to 184,446.40, 276,280.80 and 164,747.20

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Solution

The fourth proportional to 184,446.40, 276,280.80 and 164,747.20 is: 246,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,446.40 : 276,280.80 = 164,747.20 : x
  2. Step 2: Convert to fraction form
    184,446.40/276,280.80 = 164,747.20/x
  3. Step 3: Cross multiply
    184,446.40x = 276,280.80 × 164,747.20
  4. Step 4: Simplify right side
    184,446.40x = 45,516,488,213.76
  5. Step 5: Solve for x
    x = 45,516,488,213.76/184,446.40
  6. Step 6: Final answer
    x = 246,773.52

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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.